Question

Find the measure of the arc or angle indicated.

Assume that lines which appear tangent are tangent.

Answer 1

Recall that the angle formed by two tangents is half the difference of the intercepted arc.

Multiply through by 2 to get:

26x+20=49x+10-180+13x+10

Group similar terms to get:

26x-13x-49x=10-180+10-20

-36x=-180

x=5

Explanation: