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

Let the angles be x, 2x and 3x respectively.
Sum of the three angles of a triangle = 180°
x + 2x + 3x = 180°
6x = 180°
x = 30°
∴2x = 2 × 30° = 60°
And 3x = 3 × 30°= 90°
The 3 angles of the triangle are 30°, 60° and 90°.

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