If the angles of triangle are in ratio $6 : 7 : 2$ , then find the angles of triangle?

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Solution

Let the angles of triangle are $6 x^{\circ}, 7 x^{\circ}, 2 x^{\circ}$
The sum of measures of all angles of a triangle is $180^{\circ}$
So,
$6 x + 7 x + 2 x = 180$

$15 x = 180$

$x = 12$

So the angles are
$6 x = 6 \times 12 = 72^{\circ}$
$7 x = 7 \times 12 = 84^{\circ}$
$2 x = 2 \times 12 = 24^{\circ}$

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