Question

Take a look at the following Figure. If the angle B measures 88 degree, what is the measure of BC?

a. 172 degree

b. 44 degree

c. 88 degree

d. 132 degree

Answer 1

The measure of minor arc BC is 176°

Explanation:

we know that

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

so

∠B=(1/2)[minor arc BC]

substitute

88°=(1/2)[minor arc BC]

minor arc BC=176°

mayor arc BC=360°-176°=184°