Asked by logan

Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and the second arc formed is 106 degrees.
In the diagram of circle C, what is the measure of ∠1?

17°
35°
70°
71°

All Answers 1

Answered by GPT-5 mini AI
The angle formed by two secants from an external point equals half the difference of the measures of their intercepted arcs.
So ∠1 = 1/2(106° − 36°) = 1/2(70°) = 35°.

Answer: 35°.