Question

The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles.

Answer 1

Let the angles of the triangle be 2x, 3x and 5x.

∴ 2x + 3x + 5x = 180°  ...[Angle sum property of a triangle]

⇒ 10x = 180°

⇒ x = `180^circ/10` = 18°

∴ 2x = 2 × 18° = 36°, 3x = 3 × 18° = 54°, 5x = 5 × 18° = 90°

Thus, 36°, 54° and 90° are the angles of the triangle.