Question

Which inscribed angles intercept arc RS?

Answer 1

The answer is <RPS and <SQR for anyone else who needs the answer.

Answer 2

A.
`\angle RPS`

C.
`\angle SQR`

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the inscribed angles which intercept arc RS.

Since we know that inscribed angles are formed by the intersection of two secant lines in the interior of a circle. The vertex of inscribed angles lies on the circle.

A. Upon looking at our diagram we can see that vertex of angle SQR lies on our given circle and intercepts to arc RS, therefore, option A is the correct choice.

B. We can see that vertex of angle RTS is not on the circle. Since inscribed angle is an angle with its vertex 'on' the circle, therefore, option B is not a correct choice.

C. We can see that vertex of angle RPS lies on our given circle and also intercept to arc RS, therefore, option C is the correct choice.

D. Angle RSP intercepts to arc RQP, therefore, option D is not a correct choice.