In ΔXYZ, m∠X : m∠Y : m∠Z = 1 : 2 : 3. If XY = 15, YZ = …

Let ∠X = A,
⇒ ∠Y = 2A and ∠Z = 3A
As sum of all angles in a triangle is equal to 180°
∠X + ∠Y + ∠Z = 180
⇒ 6A = 180
⇒ A = 30
⇒ ∠Z = 90°
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⇒ YZ = 7.5
∴ Option (d) is correct.
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