Question

What is the value of x?

Answer 1

58°

Step-by-step explanation

The relationship between the measure of the bigger arc and the smaller arc and the angle created by the secant and the tangent is

`51 \degree = (1)/(2) (160 - x)`

Multiply through by 2

This implies that

`2 * 51 \degree =2 * (1)/(2) (160 - x)`

We simplify to get:

`102 \degree =160 - x`

Solve for x.

`102 \degree - 160 \degree =- x`

`- 58 \degree =- x`

`58 \degree =x`