| PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q, then the sum of the angles Q and R is:

A. 65°

B. 70°

C. 72°

D. 75°

### Right Answer is: D

#### SOLUTION

In cyclic quadrature opposite angles are supplementary angles so,

∠P+∠R=180°

3α+α=180°

4α=180°

α=45°

And ∠Q+∠S=180°

5β+β=180°

6β=180°

β=30°

∠Q+∠R=β+α

=30°+45°

=75°