Question

Q.15;In the following figure, m || QR. Then, the measure of ∠QPR is​

Answer 1

Answer:

Given : In figure given below MN is parallel to QR. PQ=PR and LMN=65°,

To find : the measure of angle QPR​

Solution :

QR ║ MN

=> ∠LPN = ∠PQR    corresponding angles

=> ∠PQR = 65°

in Δ PQR

PQ = PR

=> ∠PQR  = ∠PRQ     Equal angles opposite to Equal sides

=> ∠PRQ = 65°

in Δ PQR

∠PQR + ∠PRQ + ∠QPR = 180°   Sum of angles of triangle

=> 65° + 65° + ∠QPR = 180°

=> ∠QPR = 50°

Step-by-step explanation:

Use angel sum property