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Question
The measure of three angles of a triangle are in the ratio 5:3:1. Find the measures of these angles.
Solution
Let measures of the given angles of a triangle be 5x, 3x and x.
∵ Sum of all the angles in a triangle = 180°
∴ 5x + 3x + x = 180°
⇒ 9x = 180°
⇒ x = `180^circ/9` = 20°
⇒ x = 20°
So, the angles are 5x = 5 × 20° = 100°, 3x = 3 × 20° = 60° and x = 20° i.e. 100°, 60° and 20°.
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