The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.
The measures of the angles are 100°, 60°, 20°.
Let angles be 5x, 3x, 1x. Their sum = 180° ⇒ 9x = 180° ⇒ x = 20°. Thus angles are 100°, 60°, 20°.