In a triangle ABC / A = 44 °, / B = 57 °. Determine the angle at which the bisectors of angles A and C intersect.

univerkov | December 3, 2020 | education

Suppose the bisectors intersect at point O
Consider the BAO triangle:
Avo angle = B angle: 2 = 57: 2 = 28.5 degrees
Angle bao = angle a: 2 = 44: 2 = 22 degrees
And we need to find the corner BOA
To do this, subtract the sum of the angles avo and vao from 180
180- (28.5 + 22) = 129.5 degrees, since the sum of all the angles in the triangle is 180 degrees

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