Question

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

A) A and B are supplementary
B) A and C are supplementary
C) m∠A = m∠B
D) m∠C = m∠D

Answer 1

B) A and C are supplementary

Answer 2

A) A and B are supplementary

Explanation:

we know that

For any inscribed quadrilateral in the circle , opposite angles will be supplementary

so

In this problem

Angle A and Angle B are supplementary angles

`m\angle A+m\angle C=180^o`

Angle B and Angle D are supplementary angles

`m\angle B+m\angle D=180^o`

therefore

The sentences that are true

A) A and B are supplementary