In Fig. 5.62, state which pair of lines are parallel. Give reason.
Solution:
Given, the figure represents four lines m, n, l and o.
We have to determine the lines which are parallel.
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertically opposite angles are equal to each other.
From the figure,
∠1 = 120°
Considering lines m and n cut by the line o,
From the figure,
1 + 60° = 120° + 60°
= 180°
If two parallel lines are intersected by a transversal, each pair of interior angles on the same side of the transversal is supplementary.
The sum of co interior angles is equal to 180 degrees.
Therefore, the lines m and n are parallel.
✦ Try This: In the given figure, two parallel lines are cut by a transversal. Find the value of s.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 109
In Fig. 5.62, state which pair of lines are parallel. Give reason.
Summary:
In Fig. 5.62, the lines m and n are parallel as the sum of co interior angles is equal to 180 degrees.
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