Question

please, someone help

help me find my error?

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 48°:

Points B, C, D lie on Circle A. Line segment BD is the diameter of circle A. Measure of arc CB is 48 degrees.

What is the measure of ∠DBC?

My answer: 42

Answer 1

Angle CDB is an inscribed angle and as such, it equals one half the value of the intercepted arc. So angle CDB = 24.
Angle DCB = 90 degrees because it intercepts 1/2 of the circle or 180 degrees so angle DCB = 90 degrees.
A triangle's three angles always sum to 180 degrees, so
angle CBD = 180 -24 -90
angle CBD = 66 degrees

Answer 2

@wolf1728 are you sure about angle DCB? thank you for the response, though!
these are my options:
48°
66°
24°
42°

Answer 3

I'd definitely choose 66

Answer 4

okay, thank you so much for your help!

Answer 5

u r welcome