Answer:
The value of x is [tex]58\°[/tex]
Step-by-step explanation:
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
so
In this problem
[tex]51\°=\frac{1}{2}(160\°-x\°)[/tex]
solve for x
[tex]102\°=(160\°-x\°)[/tex]
[tex]x=160\°-102\°=58\°[/tex]
