Question

the measures of the angles of a triangle are in the ratio of 2:3:5. Find the measures of angles​

Answer 1

Let the angles be,

2x, 3x and 5x

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In a triangle, the sum of all angles is equal to 180°

So,

2x + 3x + 5x = 180

10x = 180

x = 18

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To find measures of all angles, we substitute the value of x,

• 2x = 2(18) = 36
• 3x = 3(18) = 54
• 5x = 5(18) = 90

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The angles are,

36°, 54° and 90°

Answer 2

$let \: the \: angles \: be \: 2x , \: 3x \: and \: 5x$

$\red{according \: to \: question}$

$we \: know \: that , \: sum \: of \: angles \: of \: tr. = 180$

$\orange{2x + 3x + 5x = 180}$

$\purple{10x = 180}$

$\orange{x = \frac{180}{10} }$

$\purple{x = 18}$

$\bf \pink{now}$

${A = 2x = 2 \times 18 = 36}$

$B = 3x = 3 \times 18 = 54$

$C = 5x = 5 \times 18 = 90$