Question

<-->^XY IS TANGENT TO CIRCLE C AT POINT P.WHAT IS M 12 years ago

Answer 1

This is the diagram visualizing your question ! Now, you have to find \(M\angle CPX\) .

In order to find that , you must first mark the angle where it is. So, can you mark the angle in the diagram ?

Answer 2

In case you don't know how to edit the diagram :

Click on Reply using Diagram in the upper right part of the diagram. And a drawing field will appear, just mark the angle and click insert.

Answer 3

Yes right! Now see it is the theorem that : The angle made by the intersection of the radius and the tangent is always 90 degrees.

That is CP is perpendicular to XP

Answer 4

or CP is perpendicular to XY

Answer 5

You can prove that too or just state the theorem.

Answer 6

so the measure of <CPX is 90 degrees??

Answer 7

Well yes!

Answer 8

http://www.proofwiki.org/wiki/Radius_at_Right_Angle_to_Tangent

Refer to this for the proof and more information.

Answer 9

"The angle made by the intersection of the radius and the tangent is always 90 degrees." so this is your explaination??