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Q)

In the triangle ABC, if AB $\neq$ BC, which of the following is correct?

(A) $\angle{A} \;\lt\; \angle{B}$

(B) $\angle{A} \;\gt\; \angle{B}$

(C) $\angle{A} \;=\; \angle{B}$

(D) Can't say

1 Answer

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A)
In the given figure $\angle{B} = 90^{\circ}$ but AB $\neq$ BC.
Therefore it is definitely not an isosceles right triangle, which means that $\angle{A} \;\neq\; \angle{B}$ (C) is ruled out as an option.
We do not know if AB $\gt$ BC or $\lt$ than BC, so we really can't pick (A) or (B) as an option. Therefore (D) is the correct answer.
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