The angles of a triangle are in the ratio 3 : 5 : 7. Find the measures of these angles.

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Solution

The angles are in ratio 3:5:7.
Suppose the angles are 3x, 5x and 7x.

∴ 3x + 5x + 7x = 180 (angle sum property of a triangle)
15x =180
x = 12^o

Therefore, the angles are of the measures 36°, 60° and 84°.

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