Question

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

Answer 1

Answer:

Let the angle A be 5x

the angle B be 3x

the angle C be x

angle A + angle B + angle C = 180° ( ASP )

5x + 3x + x = 180°

9x = 180°

x = 180°/ 9

x = 20°

therefore, 5x = 5 × 20° = 100°

3x = 3 × 20° = 60°

x = 20°

Answer 2

Answer:

100°,60°,20°

Step-by-step explanation:

let the common multiple be x

therefore , 5x:3x:1x

5x+3x+x=180..........(sum of all angles of a triangle)

9x=180

x=180/9

x=20

5x=5×20=100 degrees

3x=3×20=60 degrees

x =20 degrees

Therefore three angles of triangle are 100°,60°and 20°.