Question

Find the value of X in the picture please

Answer 1

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°