Question

help?!?!
Lines CD and DE are tangent to circle A shown below.

Answer 1

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

126°

63°

117°

54°

Answer 2

http://assets.openstudy.com/updates/attachments/51dcb272e4b0d9a104da0b95-directrix-1373418509539-twotangentstoacircle.jpg

Answer 3

http://www.mathwarehouse.com/geometry/circle/images/power-of-point/far-arc-near-arc-formula-picture-small.png

Answer 4

if CE is 126 degrees, keeping in mind that a circle has 360 degrees total
what would be the arc angle of CBE ?

so CE is the "near arc", and CBE is the "far arc"

Answer 5

CBE=360-126?

Answer 6

yeap

Answer 7

360-126=234

Answer 8

@jdoe0001

Answer 9

yes

Answer 10

CBE is 234, so is the "far arc"

Answer 11

\(\bf \measuredangle D=\cfrac{\textit{far arc}-\textit{near arc}}{2}\implies \cfrac{234-126}{2}\)