Question

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 54°.

Points B, C, D lie on Circle A; line segment BD is the diameter of circle A; measure of arc CB is 54 degrees.

What is the measure of ∡DBC?

54°

36°

27°

63°

Answer 1

63

Explanation:

Answer 2

Line segment BD is the diameter of Circle A. It is also the hypotenuse of the right triangle found inside circle A.

angle C = 90°
angle D = 54°/ 2 = 27°

angle B = 180° - 90° - 27° = 63°

The measure of ∡DBC is 63°