The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.

Given:

Measure of three angles of a triangle are in the ratio 5 : 3 : 1

Formula Used/Theory:-

Angle sum property

Sum of all angles of triangle is 180°

If the ratio is 5:3:1

Then;

The 3 angles will be 5x,3x,x

Sum of angles will be 180°

5x + 3x + x = 9x

9x = 180°

⇒ x = = 20°

∴ angles are 5×20°, 3× 20°, 1×20°

100°, 60°, 20°

Result:- the angles of triangle are 100°,60°,20°