(i) If a \(\parallel \) b, then \(\angle \)1 = \(\angle \)5

(ii) If \(\angle \)4 = \(\angle \)6, then a \(\parallel \) b

(iii) If \(\angle \)4 + \(\angle \)5 = 180°, then a \(\parallel \) b

Answer :

(i) Given a \(\parallel \)

So, \(\angle \)1 = \(\angle \)5 (Pair of corresponding angles)

(ii) Given: \(\angle \)4 = \(\angle \)6

So, a \(\parallel \) b [If pair of alternate angles are equal, then the lines are parallel]

(iii) Given: \(\angle \)4 + \(\angle \)5 = 180°

So, a \(\parallel \) b [If sum of interior angles is 180°, then the lines are parallel]

- Q.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.
- Q.3 the given figure, p \(\parallel \)q. Find the unknown angles.
- Q.4 Find the value of x in each of the following figures if l \(\parallel \)m
- Q.5 the given figure, the arms of two angles are parallel. If \(\angle \)ABC = 70°, then find (i) \(\angle \)DGC (ii) \(\angle \)DEF
- Q.6 In the given figure below, decide whether l is parallel to m.

- NCERT solutions for class 7 maths chapter 1 Integers
- NCERT solutions for class 7 maths chapter 2 Fractions and Decimals
- NCERT solutions for class 7 maths chapter 3 Data Handling
- NCERT solutions for class 7 maths chapter 4 Simple Equations
- NCERT solutions for class 7 maths chapter 5 Lines and Angles
- NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties
- NCERT solutions for class 7 maths chapter 7 Congruence of Triangles
- NCERT solutions for class 7 maths chapter 8 Comparing Quantities
- NCERT solutions for class 7 maths chapter 9 Rational Numbers
- NCERT solutions for class 7 maths chapter 10 Practical Geometry
- NCERT solutions for class 7 maths chapter 11 Perimeter and Area
- NCERT solutions for class 7 maths chapter 12 Algebraic Expressions
- NCERT solutions for class 7 maths chapter 13 Exponents and Powers
- NCERT solutions for class 7 maths chapter 14 Symmetry
- NCERT solutions for class 7 maths chapter 15 Visualising Solid Shapes

- NCERT solutions for class 7 science chapter 1 Nutrition in Plants
- NCERT solutions for class 7 science chapter 2 Nutrition In Animals
- NCERT solutions for class 7 science chapter 3 Fibre to Fabric
- NCERT solutions for class 7 science chapter 4 Heat
- NCERT solutions for class 7 science chapter 5 Acids Bases and Salts
- NCERT solutions for class 7 science chapter 6 Physical and Chemical Changes
- NCERT solutions for class 7 science chapter 7 Weather, Climate and Adaptations of Animals to Climate
- NCERT solutions for class 7 science chapter 8 Winds, Storms and Cyclones
- NCERT solutions for class 7 science chapter 9 soil
- NCERT solutions for class 7 science chapter 10 Respiration in Organisms
- NCERT solutions for class 7 science chapter 11 Transportation in Animals and Plants
- NCERT solutions for class 7 science chapter 12 Reproduction In Plant
- NCERT solutions for class 7 science chapter 13 Motion and Time
- NCERT solutions for class 7 science chapter 14 Electric Current and Its Effects
- NCERT solutions for class 7 science chapter 15 Light
- NCERT solutions for class 7 science chapter 16 Water: A Precious Resource
- NCERT solutions for class 7 science chapter 17 Forests: Our Lifeline
- NCERT solutions for class 7 science chapter 18 Waste Water Story