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Answer :

Answer:

D

Step-by-step explanation:

the measure of a secant- tangent angle is half the difference of the intercepted arcs, then

[tex]\frac{1}{2}[/tex] (154 - (12x + 2) ) = 6x + 4 ( multiply both sides by 2 to clear the fraction )

154 - 12x - 2 = 12x + 8 , that is

152 - 12x = 12x + 8 ( subtract 12x from both sides )

152 - 24x = 8 ( subtract 152 from both sides )

- 24x = - 144 ( divide both sides by - 24 )

x = 6