please refer to the attachment for the figure.
the measure of angle PRS is how many times greater than the measure of angle PQR?
(1) angle QPR = 30 degrees
(2) the sum of the measures of angle PQR and PRQ = 150 degrees
OA is D
triangle
This topic has expert replies
- sanju09
- GMAT Instructor
- Posts: 3650
- Joined: Wed Jan 21, 2009 4:27 am
- Location: India
- Thanked: 267 times
- Followed by:80 members
- GMAT Score:760
The right wordings of the question are "the measure of angle PRS is how many degrees greater than the measure of angle PQR?"rahul.s wrote:please refer to the attachment for the figure.
the measure of angle PRS is how many times greater than the measure of angle PQR?
(1) angle QPR = 30 degrees
(2) the sum of the measures of angle PQR and PRQ = 150 degrees
OA is D
We in fact need to answer: What is ∠PRS - ∠PQR?
(1) We know that, ∠PRS = ∠PQR + ∠QPR; exterior angle property of triangle.
Hence, ∠PRS - ∠PQR = ∠QPR = 30° (given).Sufficient
(2) With the sum of the measures of ∠PRQ and ∠PQR known, ∠QPR can be obtained and ∠PRS - ∠PQR can be found accordingly. Sufficient
[spoiler]D[/spoiler]
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
- sanjayism
- Junior | Next Rank: 30 Posts
- Posts: 26
- Joined: Sat Oct 31, 2009 10:52 am
- Location: rourkela
- Thanked: 1 times
both statements will give the answer.
1) angle QPR =30
THEN SUM OF ANGLE PQR AND ANGLE QRP =180-30 =150
WHICH IS STATEMENT (2)
ASSUME ANGLE PQR =x
AND ANGLE QPR =30
THEN ANGLE PRS =X+30
DIFFERANCE OF THESE TWO ANGLE WILL BE 30 FROM BOTH STATEMENT INDIVIDUALLY.
1) angle QPR =30
THEN SUM OF ANGLE PQR AND ANGLE QRP =180-30 =150
WHICH IS STATEMENT (2)
ASSUME ANGLE PQR =x
AND ANGLE QPR =30
THEN ANGLE PRS =X+30
DIFFERANCE OF THESE TWO ANGLE WILL BE 30 FROM BOTH STATEMENT INDIVIDUALLY.
kumar sanjay
-
- Master | Next Rank: 500 Posts
- Posts: 194
- Joined: Thu Jan 14, 2010 5:18 am
- Thanked: 2 times