The vertex of an angle measuring 32° is in the exterior of a circle and its sides are secants of the circle. if the sum of the measures of the intercepted arcs is 180°, find the measure of each intercepted arc.

The measures of the intercepts arcs are  and

Step-by-step explanation:

we know that

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

Let

x,y -----> the intercepts arcs

----> equation A

------> equation B

substitute equation B in equation A

Find the value of x

therefore

The measures of the intercepts arcs are  and