Question

In the given figure PQ is a transversal intersecting lines AB and CD. Find the measures of angles x and y. Hence prove AB//CD.​

Answer 1

Explanation:

From the given figure ,

AB || CD

PQ is a transversal

Given angles are 50° and 130°

50° and x are linear pair

⇛ 50°+x = 180°

⇛ x = 180°-50°

⇛ x = 130°

Therefore, "x" = 130°

and

130° and y are vertically opposite angles which are equal.

⇛ "y" = 130°

Therefore, y = 130°

Additional comment:-

1. If two parallel lines Intersected by a transversal then
2. Corresponding angles are equal.
3. Vertically Opposite angles are equal.
4. The sum of two adjacent angles is equal to 180° then they are called Linear Pair.