figure attached

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Wed Mar 04, 2009 4:38 am

In the figure attached, side AC of triangle ABC lies on line l. What is the value of y?
A. 22
B. 24
C. 25
D. 30
E. It cannot be determined from the information given.

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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

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Source: Beat The GMAT — Problem Solving | Wed Mar 04, 2009 4:38 am

farooq: Master | Next Rank: 500 Posts; Posts: 140; Joined: Sat Feb 28, 2009 8:51 amFollowed by: 3 members; Location: India; Thanked: 14 times

Re: figure attached

by farooq » Wed Mar 04, 2009 5:02 am

sanju09 wrote:In the figure attached, side AC of triangle ABC lies on line l. What is the value of y?
A. 22
B. 24
C. 25
D. 30
E. It cannot be determined from the information given.

Y=22.

x+x+40=180.

therefore x = 70.

again 5y+70=180. and it gives 22.

Regards,
Farooq Farooqui.
London. UK

It is your Attitude, not your Aptitude, that determines your Altitude.

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quocbao: Senior | Next Rank: 100 Posts; Posts: 88; Joined: Tue Mar 03, 2009 8:10 am; Thanked: 3 times

by quocbao » Wed Mar 04, 2009 7:51 am

Yes, you can do the calculation, but plug the answers into the question is quite faster.

Thanks farooq

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marcusking: Master | Next Rank: 500 Posts; Posts: 106; Joined: Wed Feb 04, 2009 6:09 am; Location: Louisville, KY; Thanked: 8 times

Re: figure attached

by marcusking » Wed Mar 04, 2009 8:46 am

sanju09 wrote:In the figure attached, side AC of triangle ABC lies on line l. What is the value of y?
A. 22
B. 24
C. 25
D. 30
E. It cannot be determined from the information given.

180 degrees in Triangle so x = (180 - 40) / 2 or x = 70
180 degrees in a straight line so y = (180 - 70) / 2

y = 22.

Please start posting the OA.

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Thu Mar 05, 2009 2:55 am

Since the angles of triangle ABC are of measures 40°, x°, and x°, and the sum of the measures of the angles of a triangle is 180°, it must be true that 40 + 2x = 180. Therefore, 2x = 140, or x = 70.
Since side AC of triangle ABC lies on line l, the angle measures x° and 5y° must add up to 180°. That is, x + 5y = 180. Since x = 70, it follows that 5y = 110. Therefore, y = 22, which is choice [spoiler](A)[/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

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