Question

In figure given below MN is parallel to QR. PQ=PR and LPN=65°, find the measure of angle QPR​

Answer 1

Answer:

∠QPR =50°

Step-by-step explanation:

In figure given below MN is parallel to QR. PQ=PR and LMN=65°, find the measure of angle QPR

QR ║MN

⇒ ∠LPN = ∠PQR

⇒ ∠PQR = 65°

In ΔPQR

PQ = PR

⇒ ∠PQR = ∠PRQ

⇒ PRQ = 65°

In ΔPQR

∠PQR + ∠PRQ + ∠QPR = 180°

⇒65° + 65° + ∠QPR = 180°

⇒  ∠QPR =50°