Question

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The angles of a triangle are in the ratio 1 : 2 : 3. Find the size of each angle of the triangle.

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Answer 1

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

 

X + 2X + 3X = 180

6X = 180

X = 30

 

It is a 30, 60, 90 triangle

Answer 2

Given: The angles are in the ratio 1:2:3.

To find: The angles.

Answer:

Let the angles be 1x, 2x and 3x.

1x + 2x + 3x = 180° (Angle Sum Property)

6x = 180°

x = 180°/6

x = 30°

Therefore, the angles are 1x = 1*30 = 30°, 2x = 2*30 = 60° and 3x = 3*30 = 90°.

Hope it helps :)