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3 years ago

(09.01 MC)

Mathematics

1 answer:

Westkost [7]3 years ago

4 0

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

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