Question

If the angles of a triangle are in the ratio 2:3:5 . The degree measure of the largest angle is

Answer 1

Hey,

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

So,

By angle sum property,

2x + 3x + 5x = 180

10x = 180

X = 18 .

Therefore,

First angle = 2*18 = 36 degree.

Second angle = 3*18 = 54 degree.

Third angle = 5*18 = 90 degree.

So, the measure of the largest angle is 90 degree.

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Answer 2

let the angle measure is x

by angle sum property of triangle,
the sum of all angles of triangle is 180°

according to question,
    2x+3x+5x=180
       10x=180
x=180/10
x=18°
now first angle is 2x=2×18=36°
second angle is 3x=3×18=54°
third angle is 5x=5×18=90°

so the degree measure of largest angle is 90°