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Solve for m. Please Help!

Solve for m. Please Help!-example-1
User BernhardS
by
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1 Answer

9 votes
9 votes

Answer:

m = 39°

Explanation:

angles on the circumference of the circle subtended by the same arc are congruent.

∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )

then ∠ ADC = 36° + 33° = 69°

Opposite angles of a cyclic quadrilateral sum to 180° , so

∠ ABC = 180° - 69° = 111°

then

m + 72° = 111° ( subtract 72° from both sides )

m = 39°

User Kwasi
by
2.8k points