Question

The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of

the largest angle is [2marks]​

Answer 1

let the angles be 2x° , 3x° , 4x°

we know that sum of measure of three angles in a triangle is 180°

2x°+3x°+4x°=180°

9x° = 180°

x= 20°

therefore the angels are 2 ×20 = 40°

3×20 = 60°

4×20 = 80°

hence the largest angle is 80°

Answer 2

sum of all the angles is 180°

ratio 2:3:4

2x+3x+4x=180

9x=180

x=20

2*20=40

3*20=60

4*20=80

the angles are 40°,60°,80°