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We can see here that angles A and B are supplementary (sum is 180), similarly angles C and D are also supplementary. Also, since l || m, we have angle A = angle C and angle B = angle D (corresponding angles)
Statement 1 Angle A = 55, this means angle B = 180 - 55 = 125, which is NOT 90. This gives us NO as an answer to the question asked. Sufficient.
Statement 2 Angle D > 90, and since angle B = angle D, angle B is also > 90, so NOT 90. This also gives us NO as an answer to the question asked. Sufficient.
Statement 1: Angle A = 55° Since angles A and B are on the same line, they must add to 180° So, we can conclude that Angle B = 90° So, the answer to the target question is NO, Angle B does NOT equal 90° Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Angle D > 90° Since lines l and m are parallel, we can see that Angle B = Angle D So, if Angle D > 90° then it must also be true that Angle B > 90° If Angle B > 90°, then Angle B CANNOT equal 90° So, the answer to the target question is NO, Angle B does NOT equal 90° Since we can answer the target question with certainty, statement 2 is SUFFICIENT