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Mathematics 17 Online
OpenStudy (gabylovesyou):

@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°

OpenStudy (gabylovesyou):

OpenStudy (anonymous):

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?

OpenStudy (gabylovesyou):

no i dont

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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.

OpenStudy (gabylovesyou):

B ?

OpenStudy (anonymous):

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.

OpenStudy (gabylovesyou):

oh....

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