In triangle ABC, the sum of the angles A and B is 100, and the sum of the angles B and C is 150.
| September 25, 2021 | education
In triangle ABC, the sum of the angles A and B is 100, and the sum of the angles B and C is 150. Find the degree measure of the larger of the angles of the triangle.
The sum of the angles A and B is 100 °, and the sum of all three angles in triangle ABC is 180 °. This means that the angle is C = 180 ° – 100 ° = 80 °.
The sum of the angles B and C is 150 °, and since the angle C is 80 °, the angle B = 150 ° – 80 ° = 70 °.
Find angle A: angle C = 80 °, angle B = 70 °. Angle A = 180 ° – (80 ° + 70 °) = 30 °.
The largest angle of these is corner C.
Answer: Angle C is 80 °.
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