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Review: Angles of a Triangle
Explanation
Given the question here, and considering what we are
expected to know (from the Math Review in this course), we are likely going to
use the fact that the angles of the triangle must sum to 180 degrees in order
to find x. Let's see what the
statements give us, evaluating them separately first, as always.
Statement (1) gives us
. This is perfect, because if
, and
, then
. One way to see this is to plug in 130 for
in the longer
equation and solve for x. This
statement is sufficient.
Statement (2) allows us to find y, but we aren't looking for y.And we can't solve exhaustively, because with
this statement and
we have only
two equations and three variables. Insufficient.
The correct answer is (A).
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