Question

Find the value of x.
A. 22.5
B.40
C.45
D.95

Answer 1

x = 22.5

Explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

`(1)/(2)` (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