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Take a look at the following figure if angle B measures 78°, and is the measure of BDC?

a. 204 degree

b. 156 degree

c. 39 degree

d. 78 degree

Take a look at the following figure if angle B measures 78°, and is the measure of-example-1

1 Answer

4 votes

Answer:

Option a. 204 degree

Explanation:

see the attached figure to better understand the problem

we know that

The semi-inscribed angle is half that of the arc it comprises.

so

∠B=(1/2)[arc BC]

substitute

78°=(1/2)[arc BC]

arc BC=156°

Remember that

arc BC+arc BCD=360°

arc BCD=360°-156°=204°

Take a look at the following figure if angle B measures 78°, and is the measure of-example-1
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