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

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Given that the angles of the triangle are in ratio 1 : 2 : 3

Let, the angles be a, 2a, 3a

Therefore, we know that

Sum of all angles if triangle is 180°

a + 2a + 3a = 180°

6a = 180°

a = \(\frac{180}{6}\)

a = 30°

Since,

a = 30°

2a = 2 (30°) = 60°

3a = 3 (30°) = 90°

Therefore, angles are a = 30°, 2a = 60° and 3a = 90°

Hence, angles are 30°, 60° and 90°.

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