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Question
If one angle of a triangle is 60° and the other two angles are in the ratio 1:2, find the angles.
Solution
Given, one angle of a triangle is 60°.
Let the other two angles be x and 2x.
We know that, the sum of all angles in a triangle is equal to 180°.
So, x + 2x + 60° = 180°
⇒ 3x = 180° – 60°
⇒ 3x = 120°
⇒ x = 40°
So, the other two angles will be x = 40° and 2x = 2 × 40° = 80°.
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