In the figure below what is the value of the CD arc? a) 114°
b) 84°
c) 40°
d) 134°
e) 124°

e

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

( CD - BE ) = 20 ( multiply both sides by 2 )

CD - BE = 40 , substitute values

3x + 10 - 2x - 8 = 40

x + 2 = 40 ( subtract 2 from both sides )

x = 38

Thus

arc CD = 3x + 10 = 3(38) + 10 = 114 + 10 = 124° → e

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