The value of x

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didieravoaka: Master | Next Rank: 500 Posts; Posts: 163; Joined: Tue Jan 13, 2015 11:44 am; Thanked: 2 times

by didieravoaka » Tue Feb 16, 2016 3:25 pm

Thanks to help.

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Source: Beat The GMAT — Problem Solving | Tue Feb 16, 2016 3:25 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Feb 16, 2016 3:46 pm

Hint: We can find all 3 angles in the triangle.
Once we know the angle that's next to x, we can use the rule that says "angles on a line add to 180 degrees"

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Brent

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by [email protected] » Tue Feb 16, 2016 4:30 pm

Hi didieravoaka,

Any time a Quant question includes a triangle, that triangle is almost always a part of how you have to answer the given question.

When dealing with criss-crossing lines, it's important to remember that opposite angles are EQUAL and the angles on one side of a line always add up to 180 degrees. Knowing those two rules...

1) In the upper 'right corner', we have 40/140/40/140
2) At the bottom, we have 130/50/130/50

3) We now know two angles in the triangle: 40 and 50, so the third angle in that triangle is 90. Since angles on one side of a line always add up to 180, we now know that X=90.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

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didieravoaka: Master | Next Rank: 500 Posts; Posts: 163; Joined: Tue Jan 13, 2015 11:44 am; Thanked: 2 times

by didieravoaka » Tue Feb 16, 2016 5:00 pm

Thanks guys your posts are really helpful. But why we don't use the rule that says, " Angles that are on the alternate interior sides of the transversal are equal" ?

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Feb 16, 2016 5:08 pm

didieravoaka wrote:Thanks guys your posts are really helpful. But why we don't use the rule that says, " Angles that are on the alternate interior sides of the transversal are equal" ?

Yes, but that applies only to parallel lines.

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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didieravoaka: Master | Next Rank: 500 Posts; Posts: 163; Joined: Tue Jan 13, 2015 11:44 am; Thanked: 2 times

by didieravoaka » Tue Feb 16, 2016 5:29 pm

Got you Brent.
Thanks.

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