The measures of the angles of a triangle are in the ratio 2.3.4. What is the number of degrees in the measure of the largest angle?

let ratios be x

2x +3x+4x=180(Sum of triangles)

x=20`

2X=20

x=20×2

X=40

3x=20

X=60

4x=20

x=80

largest angle is 80

Step-by-step explanation:

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80°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° by 9 to find the value of one part of the ratio

180° ÷ 9 = 20° ← value of 1 part of ratio, then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The measure of the largest angle is 80°

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