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In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?
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In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC-example-1
User Otoomey
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1 Answer

8 votes

Answer:

  • D. 70°

Explanation:

∠BEC is supplementary with ∠BEA

Find the measure of ∠BEA

  • m∠BEA = 1/2(mCD + mAB)
  • m∠BEA = 1/2(120° + 100°) = 110°

Supplementary angles sum to 180°

  • m∠BEC + m∠BEA = 180°
  • m∠BEC = 180° - 110° = 70°

Correct choice is D

User Chaka
by
4.1k points
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