Three angles lie on a straight line and are in the ratio 1:2:3. Find the angles.

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Solution

Since three angles are in the ratio 1 : 2 : 3. Let's assume the angles to be x, 2x, and 3x. And as they lie on a striaght line, sum of all three angles equal to 180 degrees
$Therefore, x + 2 x + 3 x = 180 ° \Rightarrow 6 x = 180 ° \Rightarrow x = 30 ° \Rightarrow The measure of the angles are 30 °, 60 ° and 90 ° .$

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