Answer:
The measure of arc x is 70°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
and
The inscribed angle is half that of the arc it comprises.
so
The arc that comprises the inscribed angle of 15 degrees is equal to
15(2)=30 degrees
The outer angle of 20 degrees is equal to
20°=(1/2)[x-30°]
40°=[x-30°]
x=40°+30°=70°
