Source: Revised GRE PDF 1st Ed. Section 6: Math; #3

10

# Triangle PQR where PS = SR

### 3 Explanations

1

VIDHIT CHANDRA

Isnt x the exterior angle of traingle QSR?.If it is then x would be equal to y+

Nov 6, 2017 • Comment

Jonathan , Magoosh Tutor

Hi Vidhit. Please refer to this blog post to see what exterior angle can mean: https://magoosh.com/gre/2014/two-definitions-of-exterior-angle-in-gre-geometry/

Nov 13, 2017 • Reply

2

Naveen Gabriel

IF PS =SR then shouldn't angle PQS=SQR??

Aug 6, 2017 • Comment

Jonathan , Magoosh Tutor

Hi Naveen,
No. This would only be true for an isosceles triangle with PQ = QR and therefore QS would be the perpendicular bisector of PR.

It is true that WITHIN THE SAME triangle, if two sides are equal, then the sides opposite them are equal, and vice-versa, but PS and SR are sides of different triangles (SPQ and SRQ).

Sep 4, 2017 • Reply

7

Chris Lele, Magoosh Tutor

Oct 4, 2012 • Comment

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