Question

For the cyclic quadrilateral ABCD, which statement is true? A) The sum measure of ∠A and ∠B equals 180°. B) The sum measure of ∠A and ∠D equals 180°. C) The sum measure of ∠B and ∠D equals 180°. D) The sum measure of ∠C and ∠D equals 180°.

Answer 1

C

Explanation:

Answer 2

see the picture attached to better understand the problem

we know that
A quadrilateral is called Cyclic quadrilateral if its all vertices lie on the circle.
The opposite angles of a Cyclic - quadrilateral are supplementary
so
∠A+∠C=180°
and
∠B+∠D=180°

therefore
the answer is
C) The sum measure of ∠B and ∠D equals 180°