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I just need the answer the work isn't necessary
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I just need the answer the work isn't necessary

I just need the answer the work isn't necessary-example-1
User Ensonic
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1 Answer

4 votes

Answer:

  • 57°

Explanation:

Vertical angles theorem states that vertical angles are congruent.

Arcs EF and are intercepted by vertical angles, therefore:

  • mAB = mEF = 36°

Angle addition postulate.

  • mABD = mAB + mBD

Central angle has same measure with intercepted arc.

  • mBD = m∠BCD = 21°

So the arc ABD is:

  • mABD = 36° + 21° = 57°
User Buildok
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