Question

In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is ______.

पर्याय

• 130°

• 50°

• 80°

• 30°

Answer 1

In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is 80°.

Explanation:

Since, AB || CD and PR is a transversal

∴ ∠APR = ∠PRD  ......[Alternate interior angles]

⇒ ∠APR = 130°

⇒ ∠APQ + ∠QPR = 130°

⇒ 50° + ∠QPR – 130°

⇒ ∠QPR = 130° – 50° = 80°