All acute angles measure less than 90 degrees.
What can you conclude by deductive reasoning based on the statement above?
A. If angle A is obtuse, then it measures more than 90 degrees.
B. If angle B is reflex, then it cannot measure less then 90 degrees.
C. If angle C is acute, then it measures less than 90 degrees.
D. If an angle measures 90 degrees, then it is a right angle.

Question

All acute angles measure less than 90 degrees.
What can you conclude by deductive reasoning based on the statement above?
	A.	If angle A is obtuse, then it measures more than 90 degrees.
	B.	If angle B is reflex, then it cannot measure less then 90 degrees.
	C.	If angle C is acute, then it measures less than 90 degrees.
	D.	If an angle measures 90 degrees, then it is a right angle.

anonymous · Answer

A poses the definition of $obtuse$. Because it is a definition, we cannot deduce anything about it; for all we know, an obtuse angle could be one that measures $\pi$ or something.

B assumes that you know what $reflex$ means. This boils down to the same reason as A.

C is re-stating the hypothesis.

D is playing with definitions again.

Which one do you think is correct? I mean, the answer is pretty much staring you in the face!

anonymous · Answer

I think the answer would be C.