@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°
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?
no i dont
The length of the full circle is 360 degrees. You have 126 degrees. So you do 360-126.
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.
B ?
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.
oh....
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