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chubhunter [2.5K]
3 years ago
14

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

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

<em>No, there are no inscribed angle in this diagram; Option D</em>

Step-by-step explanation:

<em>~ Let us apply process of elimination to solve this problem ~</em>

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: <em>Answer: No, there are no inscribed angle in this diagram</em>

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