The bisectors of angles N and M of triangle MNP meet at point A. Find angle NAM
| September 10, 2021 | education
The bisectors of angles N and M of triangle MNP meet at point A. Find angle NAM if angle N = 84 degrees and angle M = 42 degrees.
Recall that the bisector bisects the angle. Based on this, in the triangle NAM we can find the angles ANM and AMN.
Find the angle ANM = 1/2 angle PNM = 1/2 * 84 ° = 42 °.
Find the angle AMN = 1/2 angle PMN = 1/2 * 42 ° = 21 °.
Knowing that the sum of the angles of any triangle is 180 °, we can determine the value of the angle NAM:
180 ° – 42 ° – 21 ° = 117 °.
Answer: The NAM angle is 117 °.
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