Question

Quadrilateral PQRS is inscribed in circle A. Which statement is necessarily true?

Answer 1

Answer:

(B) m∠R+m∠S=180°

Step-by-step explanation:

The quadrilateral is inscribed in circle A, then m∠R+m∠S=180° as the sum of corresponding angles of a quadrilateral is equal to 180°.

Since, ∠R and ∠S are corresponding angles of the quadrilateral, therefore, they ca't be equal. Hence, ∠R≠∠S.

Also, the sum of all the angles of the quadrilateral is equal to 360°, therefore ∠P+∠Q+∠R+∠S=360°, hence ∠R+∠S≠∠P+∠Q

Therefore, option B is correct.

Answer 2

Answer:

B. m∠R + m∠S = 180°

IS NOT THE ANSWER!

Step-by-step explanation: