Question

Find the value of x
A. 60
B. 57
C. 69
D. 63

Answer 1

Option A.
`x=60\°`

Explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses

in this problem

`55\°=(1)/(2)[170\°-x]`

Solve for x

`110\°=170\°-x`

`x=170\°-110\°`

`x=60\°`