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? an incribed angle on a diamter will always measure 90 degrees forming a right trianlge with the corresponding diamter

Given that angle A is 27 degrees, we know that angle B is the inscribed angle on the diameter AB. Since an inscribed angle on a diameter always measures 90 degrees, angle B must be 90 degrees.

Therefore, the measure of angle B in triangle ABC is 90 degrees.