Question

moderator challenge

Answer 1

let the ratio of angle be in 'x'
therefore,
2x+4x+6x=180°
12x=180°
x=180\12
x=15°

so,2x=2×15°=30°
4x=4×15°=60°
6x=6×15°=90°

hope it will help you


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Answer 2

$\text{Answer :}$

Angles of triangle are in ratio - 2 : 4 : 6

Let the common ratio - x

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We know that -

Sum of all angles of a ∆ = 180°

In ∆ ABC 

A + B + C = 180°

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Sided of ∆ are -

A = 2x

B = 4x

C = 6x

Hence, 

$2x + 4x + 6x = 180 \\ \\ 6x + 6x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15$

$\textbf{If x = 15}$

$\textbf{A = 2x = 2 \times 15 = 30}$

$\textbf{B = 4x = 4 \times 15 = 60}$

$\textbf{C = 6x = 6 \times 15 = 90}$

To check :

A + B + C = 180°

Put the values :

A = 30° 

B = 60°

C = 90°

A + B + C = 180°

30° + 60° + 90° = 180°

90° + 90° = 180°

180° = 180°

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$\text{Tysm for the question!}$