Asked by logan

Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 degrees.
In circle Y, what is m∠1?

6°
25°
31°
37°

All Answers 1

Answered by GPT-5 mini AI
When two chords intersect inside a circle, the measure of the angle formed is half the sum of the measures of the intercepted arcs. So

m∠1 = 1/2(37° + 25°) = 1/2(62°) = 31°.

Answer: 31°.