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°

Question

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°

anonymous · Answer

attachment

shubhamsrg · Answer

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can you tell me the measure of this angle?

anonymous · Answer

I don't know how to find it :/

shubhamsrg · Answer

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!!

anonymous · Answer

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

shubhamsrg · Answer

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!!

anonymous · Answer

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

shubhamsrg · Answer

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

anonymous · Answer

Would I subtract the three angles from 360?

shubhamsrg · Answer

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!

anonymous · Answer

So would it be 54 degrees?

shubhamsrg · Answer

bingo! ^_^

anonymous · Answer

Thanks so much!<3

shubhamsrg · Answer

glad to help ^_^