(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)

Respuesta :

Answer: 63°

Step-by-step 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

[tex]\angle DBC=\bigg(\dfrac{1}{2}\bigg)126^o\quad =\large\boxed{63^o}[/tex]

Ver imagen tramserran

Answer:

63

Step-by-step explanation: