Angles Of Triangle Are In Ratio 3 5 7

The angles of a triangle are in the ratio 3 : 5 : 7. Find each angle.

Answers:

Ratio in angles of a triangle is 3 : 5 : 7

But sum of angles of a triangle = 180°

Sum of ratios = 3 + 5 + 7 = 15

∴ First angle = (180°/15) × 3 = 36°

Second angle = (180° × 5)/15 = 60°

And third angle = (180° × 7)/15 = 84°

∴ Angles of the triangle are 36°, 60° and 84°