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In circle A below, if angle BAC measures 15 degrees, what is the measure of arc BC?

In circle A below, if angle BAC measures 15 degrees, what is the measure of arc BC-example-1

2 Answers

3 votes

Answer:

15 degrees

Explanation:

The arc measure of BC is equal to angle created by B, C and the central angle. The angle created by B,C, and the central angle is 15 degrees so the arc measure is 15 degrees.

answered
User Khunshan
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8.9k points
2 votes

Answer: 15°

Explanation:

It is important to remember that, by definition:


Central\ angle = Intercepted\ arc

Therefore, in this case, knowing that the angle BAC (which is the central angle) in the circle provided measures 15 degrees, you can conclude that the measure of arc BC (which is the intercepted arc) is 15 degrees.

Then you get that the answer is:


BAC=BC


BC=15\°

answered
User Shadowbob
by
8.2k points

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