Question

The angles of a triangle are in the ratio 2:5:8. Find the measure of each angle of the triangle​

Answer 1

Step-by-step explanation:

let the three angles of the triangle be 2x, 5x, 8x

By using Angle Sum Property of triangle,

2x+5x+8x=180°

15x=180°

x=180/15

x= 12°

therefore,

the three angles are:

2x=2×12=24°

5x=5×12=60°

8x=8×12=96°

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Answer 2

Answer:

let the angles be 2x,5x and 8x

According to question:

2x+5x+8x=180°(sum of angles of triangle is 180°)

15x=180°

x=12°

first angle=2x=2*12=24

second angle=5x=5*12=60

third angle=8x=8*12=96