The chords AB and MK of some circle intersect. Find the MAK angle if the ABK angle is 40 degrees
| April 25, 2021 | education
The chords AB and MK of some circle intersect. Find the MAK angle if the ABK angle is 40 degrees and the AKM angle is 70 degrees.
Consider the triangle ABK and AMK, which have a common chord AK, and then the angle AMK = ABK = 40, since they rest on one chord.
Then in the triangle AMK the angle MAK = 180 – AMK – AKM = 180 – 40 – 70 = 70.
Answer: Angle MAK = 70.
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