## brookieismyname 3 years ago Lines CD and DE are tangent to circle A shown below If arc CE is 126°, what is the measure of ∡CDE? 126° 63° 117° 54°

1. brookieismyname

2. shubhamsrg

|dw:1338493954982:dw| can you tell me the measure of this angle?

3. brookieismyname

I don't know how to find it :/

4. shubhamsrg

this angle measure is universal.. alright,,i'll tell you,,but you have to reach the ans yourself..i'll drop hints when you require.. a tangent always makes a 90 degree angle with the radius!!

5. brookieismyname

Wait isn't the measure of the angle half the arc?

6. shubhamsrg

half the arc? which arc?? you're confusing with another property of circle.. just remember this :a tangent always makes a 90 degree angle with the radius!!

7. brookieismyname

I don't get how you would find the angle measure

8. shubhamsrg

see,,CAED is a quadilateral..you know 3 angles of it..cant you find the 4th?

9. brookieismyname

Would I subtract the three angles from 360?

10. shubhamsrg

yep.. well 2 of those are 90 degress,,(radius tangent angle),,one is 126(given the ques) just find the 4th,,thats what the ques asks you to do!

11. brookieismyname

So would it be 54 degrees?

12. shubhamsrg

bingo! ^_^

13. brookieismyname

Thanks so much!<3

14. shubhamsrg