If the ratio of the angles of a triangle is $2 : 3 : 5$ then angles are

36^{\circ}, 54^{\circ}, 90^{\circ}

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18^{\circ}, 36^{\circ}, 126^{\circ}

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20^{\circ}, 60^{\circ}, 180^{\circ}

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18^{\circ}, 60^{\circ}, 102^{\circ}

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Solution

The correct option is A $36^{\circ}, 54^{\circ}, 90^{\circ}$
Let the angles are 2x, 3x and 5x
$∴ 2 x + 3 x + 5 x = 180^{\circ}$
[Sum of angles of a triangle]
or $10 x = 180^{\circ}$
$∴ x = 18^{\circ}$
Hence, angles are
$2 x = 36^{\circ}$
$3 x = 54^{\circ}$
$5 x = 90^{\circ}$

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If the ratio of the angles of a triangle is 2:3:5 then angles are

The correct option is A 36∘,54∘,90∘Let the angles are 2x, 3x and 5x∴2x+3x+5x=180∘[Sum of angles of a triangle]or 10x=180∘∴x=18∘Hence, angles are 2x=36∘3x=54∘5x=90∘

If the ratio of the angles of a triangle is $2 : 3 : 5$ then angles are

The correct option is A $36^{\circ}, 54^{\circ}, 90^{\circ}$
Let the angles are 2x, 3x and 5x
$∴ 2 x + 3 x + 5 x = 180^{\circ}$
[Sum of angles of a triangle]
or $10 x = 180^{\circ}$
$∴ x = 18^{\circ}$
Hence, angles are
$2 x = 36^{\circ}$
$3 x = 54^{\circ}$
$5 x = 90^{\circ}$