Question

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

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0801_04/image0054e847c99.gif

What is the measure of ∡DBC?

Answer 1

@cwrw238 @Hero @jim_thompson5910 @ParthKohli

Answer 2

Inscribed angles are half of the arc which they cut.
The diameter divides the circle into 2 180º arcs.

Answer 3

okay....

Answer 4

so its18?

Answer 5

No, that's the measure of angle CDB.

Answer 6

then how do i find DBC?

Answer 7

angle DBC has vertex at B. Arc BCD is half the circle, so =180º subtract from that arc BC or 36º to get arc CD.

Answer 8

Angle DBC is half of arc CD.

Answer 9

162?

Answer 10

sry typo 72

Answer 11

Correct.

Answer 12

okay thank you

Answer 13

You can also confirm that using the three angles of that triangle, 90+18+72 = 180.

Answer 14

okay! :)