NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2
Question 1.
State the property that is used each of the following statements ?
- If a || b, then ∠ 1 = ∠ 5.
- If ∠ 4 = ∠ 6, then a || b.
- If ∠ 4 + ∠ 5 = 180°, then a || b.
Solution:
- If two parallel lines are cut by a transversal then the pair of corresponding angles have equal measure.
- If two parallel lines are cut by a transversal then the pairs of alternate interior angles are equal.
- If two parallel lines are cut by a transversal, then the pairs of interior angles on the same side of the transversal are supplementary.
Question 2.
In the following figure, identify:
- the pairs of corresponding angles.
- the pairs of alternate interior angles.
- the pairs of interior angles on the same side of the transversal.
- the vertically opposite angles.
Solution:
- ∠ 1 and ∠ 5, ∠ 2 and ∠ 6, ∠ 4 and ∠ 8, ∠ 3 and ∠ 7
- ∠ 3 and ∠ 5, ∠ 2 and ∠ 8
- ∠ 3 and ∠ 8, ∠ 2 and ∠ 5
- ∠ 1, ∠ 3, ∠ 2, ∠ 4, ∠ 5, ∠ 7, ∠ 6 and ∠ 8
Question 3.
In the adjoining figure, p || q. Find the unknown angles.
Solution:
a = 55°, b = 125°, c = 55°, d = 125°, e = 55°, f= 55°.
Question 4.
Find the value of x in each of the following figures if l || m.
Solution:
- x = 70°
- x = 100°.
Question 5.
In the given figure, the arms of two angles are parallel. If ∠ ABC = 70°, then find
Solution:
- 70°
- 70°
Question 6.
In the given figures below, decide whether l is parallel to m.
Solution:
- l is not parallel to m
- l is not parallel to m
- l || m
- l is not parallel to m
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