Question

(09.01 MC)

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? (4 points)

Answer 1

63

Explanation:

Answer 2

Answer: 63°

Explanation:

Since BD is the diameter, then arc BCD = 180°

Given that arc BC = 54°, then arc CD = 180° - 54° = 126°

∠DBC is an intercepted angle -> DBC = half of arc CD

`\angle DBC=\bigg((1)/(2)\bigg)126^o\quad =\large\boxed{63^o}`