Explanation
This question draws on a geometrical fact included in the
math review--namely, that larger angles in a triangle correspond to larger sides
of the triangle across from those angles. So, if we are able to figure out
which side of the triangle is longest, we'll be able to answer that question.
Knowing the values of a
and b would definitely be
sufficient to do that, although we may be able to figure out which is largest
with less information. Turning to the data statements and looking at Statement
(1) alone, in fact we can. This statement says that b is greater than a. We
can conclude that BC is the longest
side, so angle BAC will have the
greatest degree measure. Statement (1) is sufficient. Statement (2) gives us
neither complete nor comparative information, so it's insufficient.
The correct answer is (A).
If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.