Find the angles of the triangle ABC, if B + angle C = 53, angle A-angle C = 109
August 22, 2021 | education
| The angles of a triangle add up to 180 °.
A + B + C = 180 °;
1) A = 180 ° – (B + C);
B + C = 53 °.
A = 180 ° – 53 °;
A = 127 °.
2) A – C = 109 °;
C = A – 109 °;
C = 127 ° – 109 °;
C = 18 °.
3) B = 180 ° – (A + C);
B = 180 ° – (127 ° + 18 °);
B = 35 °.
Answer: angle A = 127 °, B = 35 °, C = 18 °.
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