Question

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

Answer 1

Answer:

75°

measure of all sides of an angle is 180°

so , x+x+30=180°

2x=180-30

2x=150

x=75°

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°

Learn More:

show that (2,1) is the centre of the circumcircle of the triangle whose ...

brainly.in/question/19339461

find the coordinates of circumcentre and radius of circumcircle of ...

brainly.in/question/3772960