In Fig. 5.66, two parallel lines l and m are cut by two transversals p and q. Determine the values of x and y
Solution:
Given, the lines p and q are parallel cut by two transversal p and q.
We have to determine the values of x and y.
If two parallel lines are intersected by a transversal, each pair of alternate interior angles are equal.
From the figure,
∠x = 110°
Considering two parallel lines l and m cut by a transversal p,
If two parallel lines are intersected by a transversal, each pair of interior angles on the same side of the transversal is supplementary.
∠y + 80° = 180°
∠y = 180° - 80°
∠y = 100°
Therefore, the values of x and y are 110° and 100°.
✦ Try This: In the given figure, find the value of x
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 113
In Fig. 5.66, two parallel lines l and m are cut by two transversals p and q. Determine the values of x and y
Summary:
In Fig. 5.66, two parallel lines l and m are cut by two transversals p and q. The values of x and y are 110° and 100°.
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