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Question
The angles of a triangle are in the ratio 1 : 2 : 3, find the measure of each angle of the triangle
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Solution
The ratio of the angles of a triangle = 1 : 2 : 3.
Let the angles of a triangle be x, 2x and 3x.
x + 2x + 3x = 180° ...(Total angle of a triangle is 180°)
6x = 180°
x = `(180^circ)/6`
= 30°
x = 30°
2x = 2 × 30° = 60°
3x = 3 × 30° = 90°
Measures of the angles of a triangle = 30°, 60° and 90°.
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