Question

Jerry inscribed a quadrilateral ABCD in a circle, as shown below.



If the measure of arc BCD is 250°, what is the measure of angle BCD?


http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0800_Subtest_01_06/image0024e67730b.jpg

Answer 1

I need someone to explain to me how to solve it. I don't need the exact answer.

Answer 2

Hint: Find the measure of arc BAD

Answer 3

stop cheating on your virtual school. i am in geomatry honors with mrs boo

Answer 4

im jus here to help

Answer 5

As long as this is not a test, I think she is perfectly fine with getting help.

Answer 6

No one asked you. I'm not cheating I'm asking for help.

Answer 7

So would I do 360-250?? I just don't get this..

Answer 8

Yes, correct.
Arc BAD = 360 - 250

Answer 9

wait, @Hero, isn't the whole quadilateral meant to equal 360?

Answer 10

weird?

Answer 11

No the circle equals 360. But why do I need the other arc measure?

Answer 12

You need to find arc BAD because angle BCD cuts across it.

Answer 13

So it would be 110 and then I cut it in half to get the angle measure?

Answer 14

Correct

Answer 15

Wow, a student who could actually follow my hints. Looks like @tiffybabyy really did come here for help.

Answer 16

So the answer is 55. Awesome! Thank you Hero, you truly are mine (:

Answer 17

@hero, isn't the angles in a quadilateral inscribed by a circle equal to 360?

Answer 18

Yes @JayDS,

Add 250 + 110 and see what you get

Answer 19

but wat about and B and D?

Answer 20

We only needed to find angle BCD

Answer 21

@tiffybabyy, it seems that u do not know the property of a quadrilateral.

Answer 22

@JayDS, I know you're excited, but we only needed to find one angle.

Answer 23

but I want to know how it would work since C+A=360 already?

Answer 24

it should be A+B+C+D=360?

Answer 25

Those were the measures of the arcs of the circle, not the angles of the quadrilateral.

Answer 26

Don't confuse arcs with angles @JayDS