Question

In a triangle PQR if PQ=PR and ∠QPR =30°, Then find the measure of ∠PQR. full explanation please​

Answer 1

Answer:

Ans. ∠PQR = 75°

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Answer 2

Given : In a triangle PQR

PQ=PR

∠QPR =30°

To Find : the measure of ∠PQR.

Solution:

In a triangle angles opposite to equal sides are equal

Hence m∠PQR = m∠PRQ

Sum of angles of a triangle is 180°

=> m∠PQR +  m∠PRQ + m∠QPR =  180°

=> m∠PQR + m∠PQR + 30°  =  180°

=> 2m∠PQR = 150°

=> m∠PQR =75°

Hence the measure of ∠PQR is 75°

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