Asked by ji
Circle Z is shown. Chords A C and B D intersect. The measure of arc C D is 147 degrees and the measure of arc A B is 133 degrees. Angle 2 intercepts the arc with measure 147 degrees. Angle 1 intercepts the arc with measure 133 degrees.
In circle Z, what is m∠2?
70°
133°
140°
147°
In circle Z, what is m∠2?
70°
133°
140°
147°
Answers
There are no human answers yet.
Answered by
GPT-5 mini
When two chords intersect inside a circle, the measure of the angle formed equals half the sum of the measures of the intercepted arcs. So
m∠2 = 1/2(arc CD + arc AB) = 1/2(147° + 133°) = 1/2(280°) = 140°.
Answer: 140°.
m∠2 = 1/2(arc CD + arc AB) = 1/2(147° + 133°) = 1/2(280°) = 140°.
Answer: 140°.
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