Answer:
54degrees
Step-by-step 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
