Question

Geometry question, will medal and fan:
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?

48°
66°
24°
42°

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v16/image0034e847c99.gif

Answer 2

@welshfella

Answer 3

@awesomemiss

Answer 4

umm im kinda stummped i can't get the page with the drawing sorry

Answer 5

hold on r u in FLVS home schooling

Answer 6

ok thanks

Answer 7

I'm just taking classes on it, not homeschool

Answer 8

oh ok nvm then

Answer 9

@welshfella

Answer 10

@mathmate

Answer 11

@mathmate

Answer 12

@JunhaoZ
Congrats, having drawn the diagram from verbal description is half the geometry problem done!
Here is a hint:

Solve for angle DBC!

Answer 13

I still have no clue...

Answer 14

@Hero @Mehek14 @TheSmartOne

Answer 15

what can I use to find the measure of DBC?

Answer 16

Further hints:

We have an isosceles triangle ACB where AC=AB=radius of circle.
Angle A = 48 degrees.
Use sum of angles of a triangle (=180 degrees) to solve the problem.

Answer 17

would it be 66?

Answer 18

i think its 66

Answer 19

i think JunHaoZ is right

Answer 20

66 is correct, because the angle equals (180-48)/2=66 degrees.

Answer 21

ok

Answer 22

thx!

Answer 23

You're welcome!