Question

The angles of a triangle ABC are in the ratio 2:3:5. Find the measures of the
angles A, B and C?​

Answer 1

Answer:

36, 54 and 90 degrees

Explanation:

Let the ratio be 2x:3x:5x.

According to Angle Sum Property of Triangle,

2x + 3x + 5x = 180

10x = 180

x = 18

Therefore, angle A = 2 x 18 = 36 degrees

Angle B = 3 x 18 = 54 degrees

Angle C = 5 x 18 = 90 degrees

Answer 2

Step-by-step explanation:

let the ratio be x

then sides of triangle,

2x+3x+5x=180

10x=180

x=18

now putting the value of x in all sides

A=2x=2*18=36°

B=3x=3*18=54°

C=5x=5*18=90°