Point M is taken on line AB. Ray MD is the bisector of angle CMB. It is known that ∠DMC = 28 °. Find the CMA angle.

univerkov | January 8, 2021 | education

If MD is the bisector of CMB, then <CMD = <DMB = 28 °.
<CMD + <DMB = 28 ° + 28 ° = 56 °.
Angle АМB – unfolded, since the vertex of angle М is selected on a straight line.
<AMB = 180 °.
<AMB = <CMA + <CMD + <DMB;
180 ° = <CMA + 56 °.
Find the angle SMA:
<CMA = 180 ° – 56 ° = 124 °.
Answer: <CMA = 124 °.

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