Question

The ratio of the measures of the three interior angles of a triangle is 4:5:6. Find the measure of the smallest angle of the triangle

Answer 1

Let the angles be 4x, 5x, and 6x. Then 4x + 5x + 6x = 15x = 180°, so x = 12°. The smallest angle is 4x = 4·12° = 48°.