The degree measures of the angles of a triangle are 1: 3: 8. Find the degree measure of the larger of the angles of this triangle.
| February 23, 2021 | education
1. Vertices of the triangle – A, B, C.
2.∠А: ∠В: ∠С = 1: 3: 8.
3. We take as x the number of degrees per part.
4. We make the equation:
x + 3x + 8x = 180 °;
12x = 180 °;
x = 15 °.
5. ∠А = 15 x 1 = 15 °.
∠B = 15 x 3 = 45 °.
∠С = 15 x 8 = 120 °.
Answer: ∠С = 120 ° – the largest angle.
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