90.7k views
24 votes
Solve for m. Please Help!

Solve for m. Please Help!-example-1
User Malcor
by
7.9k points

1 Answer

4 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 Ablerman
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories