Question

Solve for x. Assume that lines which appear tangent are tangent.

Answer 1

Answer:

x=2

Step-by-step explanation:

The angle formed by two tangents intersecting outside of  a circle is half the difference of the intercepted arcs.

This implies that:

$55=\frac{1}{2}(116x+3-(180-55))$

We need to simplify this ad solve for x to get:

$110=(116x+3-125)$

Group the similar terms to  get:

$110-3+125=116x$

232=116x

Divide by 116 to get:

x=2