eVidyarthi

Main Menu
  • CBSE (English)
    • Class 6th
      • Maths Class 6
      • Science Class 6
      • Hindi Class 6
      • English Class 6
      • Sanskrit Class 6
      • Geography Class 6
      • Civics Class 6
      • History Class 6
    • Class 7th
      • Maths Class 7
      • Science Class 7
      • Hindi Class 7
      • English Class 7
      • Sanskrit Class 7
      • Geography Class 7
      • Civics Class 7
      • History Class 7
    • Class 8th
      • Maths Class 8
      • Science Class 8
      • Hindi Class 8
      • English Class 8
      • Sanskrit Class 8
      • Geography Class 8
      • Civics Class 8
      • History Class 8
    • Class 9th
      • Maths Class 9
      • Science Class 9
      • Hindi Class 9
      • English Class 9
      • Economics Class 9
      • Geography Class 9
      • Civics Class 9
      • History Class 9
      • Sanskrit Class 9
    • Class 10th
      • Maths Class 10
      • Science Class 10
      • Hindi Class 10
      • English Class 10
      • Economics Class 10
      • Geography Class 10
      • Civics Class 10
      • History Class 10
      • Sanskrit Class 10
    • Class 11
      • Maths Class 11
      • English Class 11
      • Hindi Class 11
      • Accounts Class 11
      • Physics Class 11
      • Chemistry Class 11
      • Biology Class 11
      • Economics Class 11
      • Geography Class 11
      • History Class 11
      • Political Science Class 11
      • Sociology Class 11
    • Class 12
      • Maths Class 12
      • English Class 12
      • Hindi Class 12
      • Accounts Class 12
      • Physics Class 12
      • Chemistry Class 12
      • Biology Class 12
      • Economics Class 12
      • Geography Class 12
      • History Class 12
      • Political Science Class 12
      • Sociology Class 12
    • Close
  • CBSE (हिन्दी)
    • Class 6
      • Hindi Class 6
      • गणित Class 6
      • विज्ञान Class 6
      • सामाजिक विज्ञान Class 6
      • English Class 6
      • संस्कृत Class 6
    • Class 7
      • Hindi Class 7
      • गणित Class 7
      • विज्ञान Class 7
      • सामाजिक विज्ञान Class 7
      • English Class 7
      • Sanskrit Class 7
    • Class 8
      • Hindi Class 8
      • गणित Class 8
      • विज्ञान Class 8
      • सामाजिक विज्ञान Class 8
      • English Class 8
      • Sanskrit Class 8
    • Class 9
      • Hindi Class 9
      • गणित Class 9
      • विज्ञान Class 9
      • सामाजिक विज्ञान Class 9
      • English Class 9
      • Sanskrit Class 9
    • Class 10
      • Hindi Class 10
      • गणित Class 10
      • विज्ञान Class 10
      • सामाजिक विज्ञान Class 10
      • English Class 10
      • Sanskrit Class 10
    • Class 11
      • गणित Class 11
      • English Class 11
      • Hindi Class 11
      • अर्थशास्त्र Class 11
      • भूगोल Class 11
      • इतिहास Class 11
      • राजनितिक विज्ञान
      • समाजशास्त्र Class 11
      • भौतिक विज्ञान Class 11
      • रसायन विज्ञान Class 11
      • जीव विज्ञान Class 11
    • Class 12
      • गणित Class 12
      • English Class 12
      • Hindi Class 12
      • अर्थशास्त्र Class 12
      • भूगोल Class 12
      • इतिहास Class 12
      • राजनितिक विज्ञान
      • समाजशास्त्र Class 12
      • भौतिक-विज्ञान Class 12
      • रसायन विज्ञान Class 12
      • जीव विज्ञान Class 12
    • Close
  • यूपी बोर्ड
    • Class 6
      • गणित Class 6
      • English Class 6
      • विज्ञान Class 6
      • सामाजिक विज्ञान Class 6
      • Hindi Class 6
      • Sanskrit Class 6
      • कृषि विज्ञान Class 6
      • गृहशिल्प Class 6
    • Class 7
      • गणित Class 7
      • English Class 7
      • विज्ञान Class 7
      • सामाजिक विज्ञान Class 7
      • Hindi Class 7
      • Sanskrit Class 7
      • कृषि विज्ञान Class 7
      • गृहशिल्प Class 7
    • Class 8
      • English Class 8
      • विज्ञान Class 8
      • सामाजिक विज्ञान Class 8
      • Hindi Class 8
      • Sanskrit Class 8
      • कृषि विज्ञान Class 8
    • Class 9
      • गणित Class 9
      • English class 9
      • विज्ञान Class 9
      • सामाजिक विज्ञान Class 9
      • हिंदी Class 9
      • संस्कृत Class 9
    • Class 10
      • गणित Class 10
      • English Class 10
      • विज्ञान Class 10
      • सामाजिक विज्ञान Class 10
      • हिंदी Class 10
      • संस्कृत Class 10
    • Class 11
      • English Class 11
      • गणित Class 11
      • इतिहास Class 11
      • अर्थशास्त्र Class 11
      • रसायन विज्ञान Class 11
      • भौतिक विज्ञान Class 11
      • जीव विज्ञान Class 11
      • संस्कृत Class 11
      • हिंदी Class 11
    • Class 12
      • गणित Class 12
      • English Class 12
      • हिंदी Class 12
      • भौतिक विज्ञान Class 12
      • रसायन विज्ञान Class 12
      • भूगोल Class 12
      • इतिहास Class 12
      • समाजशास्त्र Class 12
      • नागरिक शास्त्र Class 12
      • जीव विज्ञान Class 12
      • अर्थशास्त्र Class 12
      • संस्कृत Class 12
    • Close
  • बिहार बोर्ड
    • Class 6
      • हिंदी Class 6
      • गणित Class 6
      • विज्ञान Class 6
      • English Class 6
      • सामाजिक विज्ञान Class 6
      • Sanskrit Class 6
    • Class 7
      • हिंदी Class 7
      • गणित Class 7
      • विज्ञान Class 7
      • English Class 7
      • सामाजिक विज्ञान Class 7
      • Sanskrit Class 7
    • Class 8
      • हिंदी Class 8
      • गणित Class 8
      • विज्ञान Class 8
      • English Class 8
      • सामाजिक विज्ञान Class 8
      • Sanskrit Class 8
    • Class 9
      • हिंदी Class 9
      • गणित Class 9
      • विज्ञान Class 9
      • English Class 9
      • सामाजिक विज्ञान Class 9
      • Sanskrit Class 9
    • Class 10
      • हिंदी Class 10
      • गणित Class 10
      • विज्ञान Class 10
      • English Class 10
      • सामाजिक विज्ञान Class 10
      • Sanskrit Class 10
    • Close
  • एमपी बोर्ड
    • Class 6
      • हिंदी Class 6
      • English Class 6
      • संस्कृत Class 6
      • गणित Class 6
      • विज्ञान Class 6
      • सामाजिक विज्ञान
    • Class 7
      • हिंदी Class 7
      • English Class 7
      • संस्कृत Class 7
      • गणित Class 7
      • विज्ञान Class 7
      • सामाजिक विज्ञान
    • Class 8
      • हिंदी Class 8
      • English Class 8
      • संस्कृत Class 8
      • गणित Class 8
      • विज्ञान Class 8
      • सामाजिक विज्ञान Class 8
    • Class 9
      • हिंदी Class 9
      • गणित Class 9
      • संस्कृत Class 9
      • विज्ञान Class 9
      • सामाजिक विज्ञान Class 9
    • Class 10
      • हिंदी Class 10
      • English Class 10
      • गणित Class 10
      • संस्कृत Class 10
      • विज्ञान Class 10
      • सामाजिक विज्ञान Class 10
    • Class 11
      • हिंदी Class 11
      • English Class 11
      • गणित Class 11
      • अर्थशास्त्र Class 11
      • भूगोल Class 11
      • इतिहास Class 11
      • राजनितिक विज्ञान Class 11
      • भौतिक विज्ञान Class 11
      • रसायन विज्ञान Class 11
      • जीव विज्ञान Class 11
      • समाजशास्त्र Class 11
    • Class 12
      • हिंदी Class 12
      • English Class 12
      • गणित Class 12
    • Close
  • व्याकरण
  • English
    • English Grammar for School
    • Basic English Grammar
    • Basic English Speaking
    • English Vocabulary
    • English Idioms & Phrases
    • Personality Enhancement
    • Interview Skills
    • Close
  • अग्निवीर
    • armyAmry Agniveer
    • navyNavy Agniveer
    • airforceAir Force Agniveer
    • Close
Maths Class 7 || Menu
  • MCQ Maths Class 7
  • Notes Maths Class 7
  • Question Answer Maths Class 7
  • Important Formulas Maths Class 7
  • Important Questions Maths class 7
  • Sample Paper Maths Class 7
  • Previous Year Paper Maths Class 7
  • Book Maths Class 7
  • Integers
    • Ex 1.1
    • Ex 1.2
    • Ex 1.3
    • Ex 1.4
    • MCQs
    • Close
  • Fractions and Decimals
    • Ex 2.1
    • Ex 2.2
    • Ex 2.3
    • Ex 2.4
    • Ex 2.5
    • Ex 2.6
    • Ex 2.7
    • MCQs
    • Close
  • Data Handling
    • Ex 3.1
    • Ex 3.2
    • Ex 3.3
    • Ex 3.4
    • MCQs
    • Close
  • Simple Equations
    • Ex 4.1
    • Ex 4.2
    • Ex 4.3
    • Ex 4.4
    • MCQs
    • Close
  • Lines and Angles
    • Ex 5.1
    • Ex 5.2
    • MCQs
    • Close
  • Triangle and its Properties
    • Ex 6.1
    • Ex 6.2
    • Ex 6.3
    • Ex 6.4
    • Ex 6.5
    • MCQs
    • Close
  • Congruence of Triangles
    • Ex 7.1
    • Ex 7.2
    • MCQs
    • Close
  • Comparing Quantities
    • Ex 8.1
    • Ex 8.2
    • Ex 8.3
    • MCQs
    • Close
  • Rational Numbers
    • Ex 9.1
    • Ex 9.2
    • MCQs
    • Close
  • Practical Geometry
    • Ex 10.1
    • Ex 10.2
    • Ex 10.3
    • Ex 10.4
    • Ex 10.5
    • MCQs
    • Close
  • Perimeter and Area
    • Ex 11.1
    • Ex 11.2
    • Ex 11.3
    • Ex 11.4
    • MCQs
    • Close
  • Algebraic Expressions
    • Ex 12.1
    • Ex 12.2
    • Ex 12.3
    • Ex 12.4
    • MCQs
    • Close
  • Exponents & Powers
    • Ex 13.1
    • Ex 13.2
    • Ex 13.3
    • MCQs
    • Close
  • Symmetry
    • Ex 14.1
    • Ex 14.2
    • Ex 14.3
    • MCQs
    • Close
  • Visualising Solid Shapes
    • Ex 15.1
    • Ex 15.2
    • Ex 15.3
    • Ex 15.4
    • MCQs
    • Close
Share on WhatsApp

Maths Class 7 Exercise 5.2 Question Answer

Solutions For All Chapters Maths Class 7

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2

Ex 5.2 Class 7 Maths Question 1.
State the property that is used in each of the following statements?

(i) If a || b, then ∠1 = ∠5

(ii) If ∠4 = ∠6, then a || b

(iii) If ∠4 + ∠5 = 180°, then a || b

Solution:

(i) Given a || b
∴ ∠1 = ∠5 (Pair of corresponding angles)
(ii) Given: ∠4 = ∠6
∴ a || b [If pair of alternate angles are equal, then the lines are parallel]
(iii) Given: ∠4 + ∠5 = 180°
∴ a || b [If sum of interior angles is 180°, then the lines are parallel]

Ex 5.2 Class 7 Maths Question 2.
In the given figure, identify

(i) the pairs of corresponding angles.

(ii) the pairs of alternate interior angles.

(iii) the pairs of interior angles on the same side of the transversal.

Solution:

(i) The pair of corresponding angles are ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8, ∠3 and ∠7.
(ii) The pairs of alternate interior angles are ∠2 and ∠8, ∠3 and ∠5.
(iii) The pairs of interior angles on the same side of the transversal are ∠2 and ∠5, ∠3 and ∠8.

Ex 5.2 Class 7 Maths Question 3.
In the given figure, p || q. Find the unknown angles.

Solution:


∠e + 125° = 180° (Linear pair)

∴ ∠e = 180° – 125° = 55°
∠e = ∠f (Vertically opposite angles)
∴ ∠f= 55°
∠a = ∠f= 55° (Alternate interior angles)
∠c = ∠a = 55° (Vertically opposite angles)
∠d = 125° (Corresponding angles)
∠b = ∠d = 125° (Vertically opposite angles)
Thus, ∠a = 55°, ∠b = 125°, ∠c = 55°, ∠d = 125°, ∠e = 55°, ∠f= 55°.

Ex 5.2 Class 7 Maths Question 4.
Find the value of x in each of the following figures if l || m

Solution:

(i) Let the angle opposite to 110° be y.
∴ y = 110° (Vertically opposite angles)
∠x + ∠y = 180° (Sum of interior angle on the same side of transversal)
∠x + 110° = 180° .
∴ ∠x = 180° – 110° = 70°
Thus x= 70°
(ii) ∠x = 110° (Pair of corresponding angles)

Ex 5.2 Class 7 Maths Question 5.
In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find
(i) ∠DGC
(ii) ∠DEF

Solution:

Given
AB || DE
BC || EF
∠ABC = 70°
∠DGC = ∠ABC
(i) ∠DGC = 70° (Pair of corresponding angles)
∠DEF = ∠DGC
(ii) ∠DEF = 70° (Pair of corresponding angles)

Ex 5.2 Class 7 Maths Question 6.
In the given figure below, decide whether l is parallel to m.

Solution:

Sum of interior angles on the same side of transversal
= 126° + 44° = 170° ≠ 180°
∴ l is not parallel to m.

(ii) Let angle opposite to 75° be x.
x = 75° [Vertically opposite angles]
∴ Sum of interior angles on the same side of transversal
= x + 75° = 75° + 75°
= 150° ≠ 180°
∴ l is not parallel to m.

(iii) Let the angle opposite to 57° be y.
∴ ∠y = 57° (Vertically opposite angles)
∴ Sum of interior angles on the same side of transversal
= 57° + 123° = 180°
∴ l is parallel to m.

(iv) Let angle opposite to 72° be z.
∴ z = 70° (Vertically opposite angle)
Sum of interior angles on the same side of transversal
= z + 98° = 72° + 98°
= 170° ≠ 180°
∴ l is not parallel to m.

Question Answer of Chapter in PDF

NCERT Book, Notes & MCQ Online Test

Online Quiz for Objective Questions in Hindi and English

ads

Android APP

eVidyarthi

YouTube Channels

Mathematics Class 6
Science Class 6
Social Science Class 6
हिन्दी Class 6
सामाजिक विज्ञान कक्षा 6
विज्ञान कक्षा 6

Mathematics Class 7
Science Class 7
SST Class 7
सामाजिक विज्ञान कक्षा 7
हिन्दी Class 7

Mathematics Class 8
Science Class 8
Social Science Class 8
हिन्दी Class 8

Mathematics Class 9
Science Class 9
English Class 9

Mathematics Class 10
SST Class 10
English Class 10

Mathematics Class XI
Chemistry Class XI
Accountancy Class 11

Accountancy Class 12
Mathematics Class 12

Learn English
English Through हिन्दी
Job Interview Skills
English Grammar
हिंदी व्याकरण - Vyakaran
Microsoft Word
Microsoft Excel
Microsoft PowerPoint
Adobe PhotoShop
Adobe Illustrator
Learn German
Learn French
IIT JEE
Privacy Policies, Terms and Conditions, Contact Us
Copyright © 2023 eVidyarthi and its licensors. All Rights Reserved.