In triangle ABC, angle B is straight. Angle A is 56 degrees greater than angle C. Find the corners of the triangle.
March 19, 2021 | education
| Consider a triangle ABC. According to the problem, the angle B of the straight line is B = 90 °.
If angle A is 56 degrees greater than angle C, then
A = C + 56 °.
But the sum of all the angles of the triangle is 180 °. Then
A + B + C = 180 °,
C + 56 ° + 90 ° + C = 180 °,
2 * C = 34 °,
C = 17 °.
Then the angles of the triangle are:
A = C + 56 ° = 17 ° + 56 ° = 73 °, B = 90 ° and C = 17 °.
Answer: triangle angles 73 °, 90 °, 17 °
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