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Mathematics

If the angles of a triangle are in the ratio 2 : 3 : 4, find the angles.

Ratio Proportion

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Answer

Since the angles of triangle are in the ratio 2 : 3 : 4, let the angles be 2x, 3x and 4x.

Sum of angle of triangle = 180°

∴ 2x + 3x + 4x = 180
⇒ 9x = 180°
⇒ x = 180°9\dfrac{180°}{9}
⇒ x = 20°

∴ x = 20°, 2x = 40°, 3x = 60°, 4x = 80°.

Hence, the angles of triangle are 40°, 60°, 80°.

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