Question

Quadrilateral PQRS is inscribed in a circle, as shown. Which statement is true?

Answer 1

The answer is C 

P is half of QRS 
R is half of SPQ
so angles P and R are complementary.

Answer 2

Answer:

(c)

Step-by-step explanation:

Since the quadrilateral is inscribed in the circle, then by the conjecture property, the opposite angles of the quadrilateral are supplementary and the measure of one angle is equal to half of the measure of the  opposite angle.

Hence, in this case,

∠P= 1/2(arc QRS),

∠R=1/2(arc SPQ)

and ∠P+∠R=180°