Question

In angle pqr if qpr =100degree and pq = pr then angle R and angle Q respectively are

Answer 1

Answer:

Step-by-step explanation:

Given,

∠QPR = 100°

and

PQ = PR

Then,

According to angle sum property,

∠P + ∠Q + ∠R = 180°

100° + ∠Q + ∠Q = 180°  (∠Q = ∠R because angles opposite to equal sides                                              are equal)

100° + 2∠Q = 180°

2∠Q = 180-100

2∠Q = 80°

∠Q = 80/2

∴ ∠Q = 40°

Because ∠Q = ∠R ,

∠R = ∠Q = 40°