# The bisector AE is drawn in a right-angled triangle with right angle C. The CBA angle is 50 °. Find the corner BEA

August 22, 2021 | education

| 1. We calculate the value of the angle BAC, based on the fact that the total value of all internal angles of the triangle is 180 °:

Angle BAC = 180 ° – 50 ° – 90 ° = 40 °.

2. Considering that the bisector AE divides the angle BAC into two equal parts, we calculate the value of the angle BAE:

Angle BAE = 40 °: 2 = 20 °.

3. Angle BEA = 180 ° – 20 ° – 50 ° = 110 °.

Answer: the angle BEA is 110 °.

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