Two secants go through point a, which is a point in the exterior of a circle, makes a 32° angle. the measure of the bigger arc, which those secants intercept, is 100°. find the measure of the smaller arc.

The measure of the smaller arc is

Step-by-step explanation:

we know that

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

Let

x-----> the measure of the bigger arc

y----> the measure of the smaller arc

we know that

we have

substitute the values and solve for arc y