Q8 of 23 Page 87

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

Let the angles of a triangle be x, 2x and 3x.


We know that sum of the angles of a triangle is 180°.


⇒ x + 2x + 3x = 180°


⇒ 6x = 180°


⇒ x = 30°


So, the angles of the triangle are 30°, 2×30° = 60° and 3× 30° = 90°.


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