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

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Solution

Let's denote the smallest angle as X degrees. Then the other two angles are 2X and 3X.

Sum of angles in a triangle is 180
So,

X + 2X + 3X = 180
6X = 180
X = 30

It is a 30, 60, 90 triangle.

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