Question

What is the value of x?


x =

(Secants, Tangents, and Angles)

Answer 1

The value of x is
`58\°`

Explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

so

In this problem

`51\°=(1)/(2)(160\°-x\°)`

solve for x

`102\°=(160\°-x\°)`

`x=160\°-102\°=58\°`