Question

if ratio of angles of triangle is2:3:4,then find the measures of these angles

Answer 1

Answer:

40, 60 and 80 degrees

Step-by-step explanation:

Let the angles of a triangle ABC be 2x, 3x and 4x.

Acc. to ASP,

A+B+C=180

Thus 2x+3x+4x=180

9x=180

So x=180/9

x= 20 degree

Angle A= 40 degree

Angle B= 60 degree

Angle C= 80 degree

Hope it helps u!

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Answer 2

let the ratio 2x,3x,4x

sum of the angles of triangle=180

2x+3x+4x=180

9x=180

x=180/9

x=20

first angle=2x=2×20=40

second angle =3x=3×20=60

third angle=4x=4×20=80

hence the angles are 40,60and 80