Question

Question 6. If the angles of a triangle are in the ratio 2 : 3 : 4, determine three angles.​

Answer 1

Step-by-step explanation:

Let angle of traingle be 2x, 3x and 4x

Angle sum property of a triangle= 180°

2x+3x+4x=180°

9x=180°

x=180/9

x = 20°

2x = 2×20 = 40°

3x = 3×20 = 60°

4x = 4×20 = 80°

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Answer 2

Step-by-step explanation:

let angles of a triangle be 2x, 3x and 4x respectively

we know that,

sum of all angles of a triangle =180°

2x + 3x + 4x = 180°

9x = 180°

x = 180°/9

x = 20°

so 2x=2×20=40°