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Aayu12
Is traingle ABC is scalene?
1. Angle A = 65
2. AB>BC

Posted from my mobile device

1. Angle A = 65
Case 1: A = 65, B = 60, C = 55 —> Scalene
Case 2: A = 65, B = 65, C = 50 —> Not Scalene
—> Insufficient

2. AB>BC
—> Angle C > Angle A
Case 1: C = 65, B = 60, A = 55 —> Scalene
Case 2: C = 65, B = 57.5, A = 57.5 —> Not Scalene
—> Insufficient

Combining (1) & (2),
A = 65 & Angle C > Angle A
—> C > 65
—> A + C > 65 + 65
—> A + C > 130
—> B < 50 ALWAYS
—> All the angles are always different
—> Triangle is always scalene —> Sufficient

Option C
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