Question

Please help (geometry)

Answer 1

Answer: 54 degrees (third choice)

Explanation:

AB is a diameter of circle C. This leads to angle ACB being 180 degrees. By Thales Theorem (a special case of the inscribed angle theorem) we know that angle D is 90 degrees.

Therefore, triangle ADB is a right triangle. The acute angles (A and B) add to 90, and we can say they are complementary angles.

A+B = 90

36+B = 90

B = 90-36

B = 54 degrees