Bisector CE is drawn in a rectangle with right angle C. Find the angle BEC if the angle on BAC is 50 degrees.

Since, by condition, the angle ACB = 90, and the segment CE is its bisector, then the angle ACB = ACB / 2 = 90/2 = 45.

Angle BEC is the outer angle of the ACE triangle, the value of which is equal to the sum of the two inner angles of the triangle that are not adjacent to the outer corner.

Angle BEC= EAC + ACE = 50 + 45 = 95.

Answer: The angle BEC is 95.



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