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If mBC = mBD =140 degrees then What is m
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If mBC = mBD =140 degrees then What is m

If mBC = mBD =140 degrees then What is m-example-1
User Aralox
by
3.1k points

2 Answers

4 votes

Answer:

40 degrees

Explanation:

User Kaan Dedeoglu
by
3.3k points
2 votes

9514 1404 393

Answer:

40°

Explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

CB +BD +CD = 360°

CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

∠B = arc CD/2 = 80°/2

∠B = 40°

User HighFlyingSmurfs
by
2.8k points
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