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## OG2015 DS In triangle PQR, if

This topic has 1 expert reply and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

#### OG2015 DS In triangle PQR, if

Sat Sep 16, 2017 2:19 am
In triangle PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of triangle PQR has the greatest degree measure?

(1) y = x+ 3
(2) x = 2

OA: A

Hi, Experts! Please share the solution to this problem. Thank you.

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### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
902 messages
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Sat Sep 16, 2017 5:10 am
lionsshare wrote:
In triangle PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of triangle PQR has the greatest degree measure?

(1) y = x+ 3
(2) x = 2

OA: A

Hi, Experts! Please share the solution to this problem. Thank you.
An important property of a triangle:

The shortest side is opposite the smallest angle and the longest side is opposite the largest angle.

Statement 1: y = x+ 3

=> PR = x + 3 is the longest side, hence the angle PQR opposite of side PR is greatest. Sufficient.

Statement 2: x = 2

=> PQ = x = 2 and QR = x + 2 = 4

The value of PR = y is indeterminable. So, we cannot determine which side is the longest QR or PR, thus the determination of the greatest angle is not possible. Not sufficient.

Hope this helps!

-Jay
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