Question

the measure of angles of a triangle are in the ratio 2:3:5 find their measure in radian

Answer 1

2x:3x:5x

2x+3x+5x=180°

10x=180°

x=18°

Their original ration is then,

36°:54°:90°

Answer 2

hey mate....
2:3:5 is given ratio between the triangle
let's take angle as 2x, 3x and 5x
so...as we know that sum of the interior angle of a triangle = 180 degree
2x + 3x + 5x = 180
10 x = 180
x = 18

so...the angle are
2x = 2 * 18 = 36 degree = 36pie / 180 =0.5 pie
3x = 3*18 = 54 degree = 54pie / 180 = 0.3 pie
5x =5*18 = 90degree = 90pie / 180 = pie / 2

so the angles in radian are 0.5pie, 0.3pie, and pie /2

HOPE THIS HELPS YOU ☺ ☺