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State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.

State if each angle is an inscribed angle. If it is, name the angle and the intercepted-example-1

1 Answer

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Answer:

No, there are no inscribed angle in this diagram; Option D

Explanation:

~ Let us apply process of elimination to solve this problem ~

Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.

Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.

Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.

Option 4. Through elimination, Option D is the only possible answer left: Answer: No, there are no inscribed angle in this diagram

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