In Fig. 5.63, examine whether the following pairs of lines are parallel or not: AB and CD
Solution:
Given, the figure represents two lines EF and GH cut by two lines AB and CD.
We have to determine if the lines AB and CD are parallel or not.
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,
∠x = 65°
Considering lines AB and CD cut by a line EF,
From the figure,
x + 115° = 65° + 115°
= 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 AB and CD are parallel.
✦ Try This: In the given figure, two parallel lines are cut by a transversal. Find the value of x.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 110 (ii)
In Fig. 5.63, examine whether the following pairs of lines are parallel or not: AB and CD
Summary:
In Fig. 5.63, the lines AB and CD are parallel
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