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Question
Calculate the angles of a triangle if they are in the ratio 4: 5: 6.
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Solution
We know that sum of angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180°
But ∠A: ∠B: ∠C = 4: 5: 6
Let ∠A = 4x, ∠B = 5x and ∠C = 6x,
then 4x + 5x + 6x = 180°
⇒ 15x = 180°
⇒ x = `(180°)/15=12°`
∴ ∠A = 4x = 4 × 12° = 48°
∠B = 5x = 5 × 12° = 60°
∠C = 6x = 6 × 12° = 72°
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