The bisectors of angles A and B of triangle ABC intersect at point M. Find the angle AMB
| September 25, 2021 | education
The bisectors of angles A and B of triangle ABC intersect at point M. Find the angle AMB, if A = 58 degrees, angle B = 96 degrees.
In a triangle, the sum of all angles is 180 degrees, that is, the angle AMB will be equal to:
180 degrees – ABM angle – BAM angle.
The bisector divides the angle into two equal parts, that is, the angle ABM will be equal to half of the angle B, the angle BAM will be equal to half of the angle A.
angle ABM = 1/2 * 96 degrees = 48 degrees
BAM angle = 1/2 * 58 degrees = 29 degrees
angle AMB = 180 degrees – 48 degrees – 29 degrees = 103 degrees.
Answer: 103 degrees.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
