Bunuel

What is the measure of angle A?
(1) Angle B and angle C are complementary (complementary angles are two angles that add up to 90°).
(2) Angle B = 30°
Attachment:
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Target question: What is the measure of angle A? Statement 1: Angle B and angle C are complementary (complementary angles are two angles that add up to 90°)In other words
B + C = 90Since angles in a triangle add to 180 degrees, we can write: A + B + C = 180
Substitute to get: A +
90 = 180
Solve:
A = 90Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: Angle B = 30°There are several scenarios that satisfy statement 2. Here are two:
Case a: A = 60, B = 30 and C = 90. In this case, the answer to the target question is
angle A is 60 degreesCase b: A = 70, B = 30 and C = 80. In this case, the answer to the target question is
angle A is 70 degreesSince we can’t answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent