Math, asked by purnimabaraiya17, 6 months ago

It the angles of a triangle are in the ratio 2:3:4. find the value of each angle ​

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Answered by shatakshiupadhyay202
2
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Answered by MrHyper
11

\huge\mathcal\color{blue}{AnSwEr!}

\small{ }

\large\bold\color{navy}{Given,~the~angles~are~in~the~ratio~2:3:4}

\large\bold\color{navy}{Let~the~angles~be,~2x,~3x~and~4x}

\large\bold\color{navy}{Here,~we~know~that:}

In any triangle, the sum of all the interior angles are 180° [Angle Sum Property of triangles]

\large\implies\bold{2x+3x+4x=180°}

\large\implies\bold{9x=180°}

\large\implies\bold{x={\frac{180}{9}}}

\large\implies\bold{x={\underline{\underline{20}}}}

\small{ }

\large\therefore\bold\color{navy}{Value~of~each~angles~are:}

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

\small{ }

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\small{ }

\huge\bold\color{blue}{Brainliest~Please!}

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