| In a triangle PQR, PQ = PR and ∠Q is four times that of ∠P. Then ∠Q is equal to

A. 36 degrees

B. 20 degrees

C. 60 degrees

D. 80 degrees

### Right Answer is: D

#### SOLUTION

Let ∠P = x degrees

then ∠Q = 4x (given)

Now, as PQ = PR, opposite angles to these sides will be equal

therefore ∠Q = ∠R = 4x

So, x+4x+4x = 180 degrees

9x = 180

X=20 degrees

∠Q = 4x = 80 degrees