From the bisectors of the right and acute angles of a right-angled triangle

From the bisectors of the right and acute angles of a right-angled triangle, when they intersect, they form angles, one of which is 132 degrees. Find the sharp corners of the triangle.

When two bisectors intersect, four corners are formed, two vertical. two sharp and two blunt, which are equal to each other.
Given a triangle ABC, where the angle A is straight. Two bisectors AM and SC. Intersection point O.
Consider the AOC triangle. The AOC angle is 132 degrees, the AOC angle is 45 degrees, since the bisector bisects the right angle. the OCA angle is 180-45-6 = 3 degrees, which means the angle C of the ABC triangle is 6 degrees.
Angle B of triangle ABC is 180-90-6 = 84 degrees.
Answer; The acute angles of the triangle are 84 and 6 degrees.



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