Question

In ∆PQR; LP=30° PQ=PR Then find measurement of angleQ & angleR​

Answer 1

Answer:

angle Q = 75° and R = 75°

Step-by-step explanation:

Given:- PQ=PR

therefore, angle Q = angle R ( angles opposite to Equal sides are Equal).

Applying angle sum property of the triangle:-

30° + Q + R = 180°

30° + Q + Q = 180° ( Q = R )

30° + 2Q = 180°

2Q = 180° - 30°

2Q = 150°

Q = 150°\2

Q = 75° ..

Also R = 75°.. ( Q = R)