If X is the center, find the measure of angle BCD
http://media.education2020.com/evresources/2004-05-03-04-00_files/i0250000.jpg

Question

If X is the center, find the measure of angle BCD
http://media.education2020.com/evresources/2004-05-03-04-00_files/i0250000.jpg

anonymous · Answer

First join the points D and X to get the triangle DXC

anonymous · Answer

It is given that arc DC measures 112 degrees. This implies that the angle made by DC at the center of the circle is 112 degrees. Can you point out which angle is this?

anonymous · Answer

nope

anonymous · Answer

obtuse..

anonymous · Answer

Try naming the angle for example, <ABC... It is the angle formed by arc DC at the center X of the circle. It is equal to 112 degrees

anonymous · Answer

Did you get it?

anonymous · Answer

It's <DXC

anonymous · Answer

Now consider the triangle DXC. You already know one angle of it, that is 112 degrees (see triangle DXC in the above figure). Can you tell me how you would find out the other two angles of the triangle DXC, given that it is an isosceles triangle (because XD and XC are equal as they are radii of the same circle)?

anonymous · Answer

I got it...i dont need help..thank u ALOT tho!!

anonymous · Answer

The answer is 85 deg