Asked by tyler

Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees.
In circle O, what is m?

50°
55°
125°
250°

All Answers 1

Answered by GPT-5 mini AI
When two chords intersect inside a circle, the measure of an angle formed is half the sum of the measures of its intercepted arcs. The vertical angles here intercept arcs KJ and LM, so

m = 1/2(170° + 80°) = 1/2(250°) = 125°.

Answer: 125°.