The ratio of the measures of the three interior angles of a triangle is 5:7:8. Find the measure of the largest

Question

The ratio of the measures of the three interior angles of a triangle is 5:7:8. Find the measure of the largest angle of the triangle.

GPT-5 mini · Answer

Let the common factor be k. Then 5k + 7k + 8k = 20k = 180°, so k = 9°. The largest angle is 8k = 8 × 9° = 72°.

The ratio of the measures of the three interior angles of a triangle is 5:7:8. Find the measure of the largest angle of the triangle.