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If the angles of a triangle are in the ratio 1:2:3, determine the three angles.

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30^o, 60^o, 90^o

20^o, 40^o, 60^o

25^o, 50^o, 75^o

30^o, 60^o, 85^o

answer is A.

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Detailed Solution

Let the three angles be x, 2x, and 3x.

We know that the sum of all the interior angles of a triangle is 180^o.

Therefore, x + 2x + 3x = 180^o

⇒ 6x = 180^o

⇒ x = 30^o

∴ 2x = 2 × 30^o= 60^o

3x = 3 × 30^o = 90^o

Hence, the angles are 30^o, 60^o, and 90^o.

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