Question

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

Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 126 degrees. Point B lies on circle A.

If Arc CE is 126°, what is the measure of ∠CDE?

126°

63°

117°

54°

Answer 1

The formula to find angle CDE is.\[angleCDE=\frac{ 1 }{ 2 }(length \large arc-length \small arc)\]
But first you need to find the length of the big arc. Do you know how to find it?

Answer 2

no i dont

Answer 3

The length of the full circle is 360 degrees. You have 126 degrees. So you do 360-126.

Answer 4

Then based on the formula. You need to subtract the big arc with the small arc. Then find half the value. Which then would equal the angle of CDE.

Answer 5

B ?

Answer 6

To find the big arc it is \[360-126=234\]
The formula says to subtract the length of the big arc and the small arc.
\[234-126=108\]
Then you find half the value of it.\[108/2=54\]
The angle of CDE is 54 degrees.

Answer 7

oh....