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Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary. Which step would be the third step in his proof, given the following information?

Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary Which step would be the third step in class=
Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary Which step would be the third step in class=

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Answer:

B

Step-by-step explanation:

The option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

From the central angle theorem:

(1/2)mQRS = ∠T because the measure of an inscribed angle is one-half the measure of its intercepted arc.

Thus, the option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.

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