Question

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

Answer 1

EXPLANATION.

AB ║ CD.

⇒ ∠APQ = 50°.

⇒ ∠PRD = 130°.

⇒ ∠QPR.

As we know that,

⇒ ∠APR = ∠PRD = [Alternate Interior angles are equal].

⇒ ∠APQ + ∠QPR = ∠PRD.

⇒ 50° + ∠QPR = 130°.

⇒ ∠QPR = 130° - 50°.

⇒ ∠QPR = 80°

Answer 2

Answer:

80°

Step-by-step explanation:

It has been given that AB parallel to the CD and PR is a transversal.

⇒∠PRD=∠APR ... ( alternate angles)

⇒∠APR=130°

⇒∠APQ+∠QPR=130°

⇒50°+∠QPR=130°

⇒∠QPR=130°-50°

⇒∠QPR= 80°

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