Question

The angles of a triangle are in the ratio 1 : 3 : 5. Find the angles of the triangle.​

Answer 1

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• The angles of a triangle are in the ratio 1 : 3 : 5. Find the angles of the triangle.

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$1x + 3x + 5x = 180$

$9x = 180$

$x = \frac{180}{9} \\ \\ = 20$

NOW,

$\: x = 20° \\ \\ 3x = 3(20) = 60° \\ \\ 5x = 5(20) = 100°$

THEREFORE, THE THREE ANGLES ARE 20°, 60°, 100°.

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Answer 2

Answer:

The angles of triangle are 20° , 60° , 100°

Explanation:-

Let the angles be x , 3x , 5x,

⇒ x + 3x + 5x = 180°                                   ∵ Angle sum property of triangle

⇒ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = $\frac{180}{9}$

x = 20°

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First angle        = x = 20°

Second angle  = 3x = 3 × 20° = 60°

Third angle      = 5x = 5 × 20° = 100°

∴ The Angles of Triangle are 20° , 60° , 100°

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By Abhiram5566

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