Question

Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75^° then the measure of the other angle is ______.

विकल्प

• 105°

• 15°

• 75°

• 45°

Answer 1

Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75^° then the measure of the other angle is  75^°.

Explanation:

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

Let ∠PHG = 75^∘

Now, ∠MGH is the alternate angle to ∠PHG.

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

∴ ∠MGH = 75^∘