Since angle C is inscribed in the circle and angle C is an inscribed angle, it is equal to half the measure of the corresponding arc. Therefore, the measure of angle C is 27 degrees.
Since angle B is an exterior angle to triangle ABC and the measure of an exterior angle is equal to the sum of the opposite interior angles, we can calculate:
m<B = 180 - m<C - m<A
m<B = 180 - 27 - 27
m<B = 180 - 54
m<B = 126 degrees
Therefore, the measure of angle B is 126 degrees.
a cirlce has a diameter AB and an incribed at vertex C forming triangle ABC. The measure of angle A is 27 degreees. using what you know about inscribed angles, what is the measure of B? m<B=
1 answer
1 answer