Question

(09.01 MC)

In circle A shown below, BD is a diameter and the measure of CB is 36°:

What is the measure of angle DBC? (4 Points)

Answer 1

54degrees

Explanation:

Find the diagram attached

Since the angle of the triangle in a semicircle is a right angle, hence <DCB = 90 degrees

Given

<DBC= 36 degrees

Required

<DBC

Since the sum of angles in the triangle DBC is 180 degrees, hence;

<DBC+<DBC+<DCB = 180

<DBC+36+90 = 180

<DBC + 126 = 180

<DBC = 180 - 126

<DBC = 54degrees

Hence the measure of angle DBC is 54degrees