Question

Please help with explanation and steps on how to solve this kind of problem. Two Tangents to a Circle Theorem 2, Solve for x?

Answer 1

x = 12

Explanation:

You want to know the value of x when two tangents from the same point to the same circle are marked (4x-7) and (2x+17).

Tangents

Tangents to a circle from a common point are the same length:

4x -7 = 2x +17

2x = 24 . . . . . . . . add 7-2x

x = 12 . . . . . . . divide by 2