Question

Three angles are in the ratio of 2: 3: 1. Find the measure of each angle of the triangle ?

Answer 1

$\huge \mathfrak \pink{hello \: friend}$

Let the angles be 2x, 3x and x.

We know that,

Sum of all angles in a triangle=180°------(Angle sum property of a triangle)

Now,

2x+3x+x=180°

6x=180°

x=180°÷6

x=30°

Therefore, the other two angles are

2x=2×30=60°

3x=3×30=90°

Answer:

60°, 90° and 30°

Answer 2

Given,

The ratio of the angles of triangle = 2:3:1

Sum of all angles in a traingle = 180°

let the ratio be x

According to the problem,

2x + 3x + x = 180°

6x = 180°

x = 180/6

x = 30°

other angles :

Second angle = 2x = 2(30) = 60°

Third angle = 3x = 3(30) = 90°

Therefore, the three angles are 30°, 60° and 90°