Question

Lines CD and DE are tangent to circle A as shown below:

Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 130 degrees. Point B lies on circle A.

If arc CE is 130°, what is the measure of ∠ CDE?

Answer 1

Hi what would the answer choices be?

Answer 2

try make a draw about this - will be more easy understandably

Answer 3

Here is the drawing

Answer 4

This is the formula

you should know that 'a' and 'b' add up to 360 degrees

Answer 5

So if the arc is 130

then the remaining rest of the arc is 360 - 130

and so then you can you use the formula to calculate for the angle CDE which is X?

Answer 6

you subtract the two arcs and divide by 2