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Question
The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.
Solution
Given, ratio of angles is 2 : 3 : 4
Let the angles of the triangle be 2x, 3x and 4x.
So, 2x + 3x + 4x = 180° ...[Sum of angles of triangle is 180°]
9x = 180°
x = `(180^circ)/9`
x = 20°
Therefore, 2x = 2 × 20° = 40°
3x = 3 × 20° = 60°
And 4x = 4 × 20° = 80°
Hence, the angle of the triangle are 40°, 60° and 80°.
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