Question

FG is a tangent to the circle with centre A. If angle DCB=15degree and CE=DE,find angleBCE and angleGCE.
PLEASE ANSWER FAST ITS URGENT....

Answer 1

Once you do that you can see that because FG is tangent to the circle, DCG and DCF form right angles.  

Since DCG is a right angle and DCB is 15 degree, that means that BCG is 75 degree.

Because vertical angles are always congruent it can be found that DCE is also 75 degree.  

Therefore, BCE is 15 + 75 which is 90 degree.

Using the same logic, GCE is 75+75+15 which is 165 degree.