In triangle ABC, angle A = 90 degrees, and angle C = 40 degrees greater than angle B. Find angle B and angle C.

univerkov | September 20, 2021 | education

Let ABC <B = a in a triangle, then <C = a + 40 °. And we know that <B + <C = 180 ° – <A = 90 °, therefore we have: 2 a + 40 ° = 90 °, a = 25 ° Therefore, <B = 25 °, and <C = 25 ° + 40 ° = 65 °.
The following theorem was used for execution: The sum of the angles of a triangle is 180 °.

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