The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?

Given:

Consider the below figure attached with this question.

To find:

The measure of angle 3.

Solution:

According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.

Using the intersecting secant theorem, we get

Therefore, the measure of angle 3 is 30 degrees.

a

step-by-step explanation: