Question

A transversal intersects two parallel lines. If the measure of one of the angles is 40^∘ then the measure of its corresponding angle is ______.

Options

• 40°

• 140°

• 50°

• 180°

Answer 1

A transversal intersects two parallel lines. If the measure of one of the angles is 40^∘ then the measure of its corresponding angle is 40^∘.

Explanation:

Suppose line RP || line MS and line DK is the transversal intersecting them at H and G respectively.

Let ∠DHP = 40^∘

Now, ∠HGS is the corresponding angle of ∠DHP.

It is known that, corresponding angles formed by a transversal of two parallel lines are of equal measure.

∴ ∠HGS = 40^∘