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Angle Sum Property

The angle of ...

Question

The angle of a triangle are in ratio $2 : 3 : 4$ . Find the three angles in radian.

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Solution

Let the angles be $2 x, 3 x, 4 x$

Sum of angles of a triangle in radian is $π$

$⟹ 2 x + 3 x + 4 x = π$

$⟹ 9 x = π$

$⟹ x = \frac{π}{9}$

Hence angles are,

$2 x = \frac{2 π}{9}$

$3 x = \frac{π}{3}$

$4 x = \frac{4 π}{9}$

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