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

Answer:
e
Step-by-step explanation:
The secant- secant angle CAD is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] ( 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