Question

In circle A shown below, is a diameter and the measure of is 36°.

What is the measure of ∡DBC?
Answer
36°
72°
18°
54°

Answer 1

the value of DBC is 72 degrees

Explanation:

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Answer 2

The inscribed triangle is a right triangle. The diameter of the circle served as the hypotenuse of the triangle.

Angle C is 90°
Angle D = 36°/2 = 18°

The measure of ∡DBC?

180° - 90° - 18° = 72°

Remember that interior angles of a triangle sum up to 180°.