Question

the angles of triangle are in the ratio 2 ratio 3 ratio 5 find the measure of each angle that in the triangle

Answer 1

Let the angles are 2x, 3x and 5x

As we know that the sum of angles of a triangle is 180°

2x+3x+5x=180

10x=180

x=180/10

x=18°


Then the angles are

2(18)=36°

3(18)=54°

5(18)=90°

Angles are 36°, 54°, 90°

Answer 2

let the angle be x
then,all three angles=2x,3x,5x
we know that
sum of the angles of triangle is 180degree
therefore,2x+3x+5x=180°
10x=180°
x=180°/10=18°
therefore,2x=2×18=36°
3x=3×18=54°
5x=5×18=90°