In triangle PQR, if PQ = x, QR = x + 2, and PR = y…

Reading Time: < 1 minute

Last Updated on May 6, 2023

GMAT OFFICIAL GUIDE DS

Solution:

We start by sketching the triangle.

In Triangle PQR, if PQ = x...

We need to determine the angle with the greatest degree measure. Remember that the angle with the greatest measure is always opposite the side of greatest length.

Statement One Alone:

y = x + 3

Since we know that y = x + 3, we know that PR is the longest side of the triangle. Thus, we know that angle PQR, the angle opposite side PR, is the angle with the largest measure. Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

x = 2

Only knowing the value of x is not sufficient to answer the question because we don’t know the value of y.

Answer: A

Share
Tweet
WhatsApp
Share