andyarmas20070 andyarmas20070

15-03-2021
Mathematics

contestada

I just need the answer the work isn't necessary

I just need the answer the work isnt necessary class=

Respuesta :

mhanifa mhanifa

18-03-2021

Answer:

57°

Step-by-step 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°

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