Question

Find the measures of the angles of the triangle ABC if measure of angle A:measure of angle B:measure of angle C = 2:3:4.

Answer 1

Answer:

Angle A = 40

Angle B = 60

Angle C = 80

Step-by-step explanation:

The three angles of a triangle are in the ratio

2:3:4

Multiply by x

2x:3x:4x

The sum of the angles is 180 degrees

2x+3x+4x = 180

9x = 180

Divide by 9

9x/9 = 180/9

x = 20

The value of x is 20

A         B       C    

2*20:3*20:4*20

40       60    80

Angle A = 40

Angle B = 60

Angle C = 80