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The measure of three angles of a triangle are in the ratio 5:3:1. Find the measures of these angles.

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Let measure 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°/9

x = 20°

So, the angles are 5x = 5 x 20° = 100°, 3x = 3 x 20° = 60° and x = 20° i.e. 100°, 60° and 20°.

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