holacoma holacoma

04-03-2021
Mathematics

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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 MAB100 what is BEC class=

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mhanifa mhanifa

04-03-2021

Answer:

D. 70°

Step-by-step 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

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