Question

The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.

Answer 1

18°, 72°, 90°

Explanation:

The sum of the 3 angles in a triangle = 180°

sum the parts of the ratio, 5 + 4 + 1 = 10 parts

divide to find the value of one part of the ratio

180° ÷ 10 = 18° ← value of 1 part of the ratio , thus

5 parts = 5 × 18° = 90°

4 parts = 4 × 18° = 72°

Thus the angles of the triangle are 18°, 72° and 90°

Answer 2

Explanation:

let the first angle be 5x

second be 4x

and third be 1x

as we know that by adding all the sides of triangle we get 180°

therefore ,

5x+4x+1x=180°

10x=180°

hence ,

x=18°

first angle - 18*5 = 90°

second angle - 18*4=72°

third angle - 18°

HOPE THIS HELPS YOU !!!