Question

In a triangle the angles are in the ratio 2:5:3, what is the value of the least angle in the circular measure

Answer 1

let the angles of the triangle be 2x,3x and 5x

by angle sum property, we have
2x+3x+5x=180
10x=180x
x=18
so the angles will be 36°, 54° and 90°
out of these 36° is the least..

Answer 2

Let the angle be "x"
2x+5x+3x=180
10x=180
x=180/10
x=18.
2(18)=36
5(18)=90
3(18)=54
Least angle =2x i.e.36.