Answer:
x = 22.5
Step-by-step explanation:
The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (4x + 5 - 50 ) = x ( multiply both sides by 2 )
4x - 45 = 2x ( subtract 2x from both sides )
2x - 45 = 0 ( add 45 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5
