Question

In triangle PQR, QP=QR. If ∟p=40°

,
what is the measure of ∟Q?​

Answer 1

Answer:

Each angle is 65°

Step-by-step explanation:

Angles opposite to equal sides are equal.

so P and R are equal.

so if Q = 50

P + R = 130

So each angle is 65°

Answer 2

Answer:

∠Q= 70°

Step-by-step explanation:

QP=QR

Therefore,

∠PQR=∠PRQ(Angles opposite to equal sides are equal to each other)

In  ∆PQR

∠P+∠Q+∠R=180° (Angle Sum Property of triangle)

2∠Q+ 40°=180° (∠Q=∠R->proved above)

2∠Q=180°-40°

∠Q=140/2

∠Q=70°

Hope It Helps :)