Question

BE is the diameter of circle A. What's the measure of ∠BCE?

Diagram below

Question options:


1)


88°


2)


90°


3)


180°


4)


93°

Answer 1

2. 90°

Explanation:

According to the central angle theorem, an inscribed angle is always twice the measure of the central angle.

Thus, the central angle A, is 180°, because it is a straight angle.

Therefore, the measure of the inscribed angle, <BCE would be ½ of 180°.

m<BCE = 90°