Question

the three angles of a triangle in the ratio 2:3:5.Find the measure of each angle

Answer 1

The sum of interior angles inside the triangle is

180°


2x:3x:5x

2x+3x+5x=180°

10x=180°

x=18°

Their original ration is then,

36°:54°:90°

Answer 2

let the angles be 2x,3x,5x

now, 2x+3x+5x=180(sum of angles of a triangle is 180 degree..)
..........10x=180degree
.............x=180/10.....
.............x=18 degree....

now......2x=2x18=36.
...............3x=3x18=54.
................5x=5x18=90.

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