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