Question

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

Answer 1

Answer:

20°, 60° and 100°

Step-by-step explanation:

(This is just explanation and does not go into the solution)

Ratio is 1:3:5

so the angles would be 1 × x, 3 × x and 5 × x, where x is an integer

(Explanation ends. Now whatever is mentioned is to be written in the solution)

Since ratio is 1:3:5, the angles would be 1x, 3x and 5x

We know that the sum of all angles of a triangle is 180° by angle sum property of a triangle.

Therefore, 1x + 3x + 5x = 180

9x = 180

x = 180/9

x = 20          

So the angles would be:-

1 × 20 = 20°

3 × 20 = 60°

5 × 20 = 100°