Question

Find the value of x.

Answer 1

Answer:

B

Step-by-step explanation:

Since we have two secants,

Use this theorem,

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

In other words,

$x + 18 = \frac{130 - 4x + 22}{2}$

$2x + 36 = 130 - 4x + 22$

$2x + 36 = 108- 4x$

$6x + 36 = 108$

$6x = 72$

$x = 12$

B is our answer