The bisectors of angles A and B of triangle ABC meet at point M. find angle AMB if angle A = 58 degrees, angle B = 96 degrees
| January 17, 2021 | education
To solve this problem, remember that the bisector is a straight line that divides the angle in half. To calculate the AMB angle, we must first find the MAB angle and the MBA angle. Knowing that the angle A is equal to 58 degrees, we calculate the angle MAB.
MAV = 58/2 = 29 degrees.
Knowing that the angle B is equal to 96 degrees, we calculate the angle MBA.
MVA = 96/2 = 48 degrees.
Knowing that the sum of all the angles of the triangle is 180 degrees, we calculate the angle AMB.
AMB = 180- (48 + 29) = 180-77 = 103 degrees.
Answer: 103 degrees.
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