In ∆ABC, ∠A= x°, ∠B = 3x° and ∠C = y°. If 3y – 5x = 30, prove that the triangle is right angled.
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Step-by-step explanation:
∠A+∠B+∠C= 180°
x+3x+y=180°
4x+y=180°
operating 3×4x+y-3y-5x=3×180-30°
12x+5x=540°-30°
17x=510°
x=30°
∠A=30
∴∠B=3x=3×30=90
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