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GMAT Prep Geometry - Triangles within a triangle. Find X

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Source: — Data Sufficiency |

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by [email protected] » Sat Jul 25, 2015 9:55 am
Hi shannonalex,

This is one of the trickier, multi-shape geometry questions floating around the GMAC CATs - and most Test Takers get it wrong. Here's a link to a discussion on this question:

https://www.beatthegmat.com/find-x-t108228.html

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by GMATGuruNY » Sat Jul 25, 2015 11:59 am
I posted a solution here:

https://www.beatthegmat.com/geometry-ang ... 82540.html
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by Max@Math Revolution » Fri Jul 31, 2015 10:42 am
In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem.

Remember equal number of variables and equations ensures a solution.

In original condition, angle X+angle SQP + angle SUP + angle P(90)=360. So we have 3 variables (X, SQP, SUP) and 1 equation. 2 more equations are needed.
So, the answer is C.

Why C? If you know our own innovative logics to find the answer, you don't need to solve the problem.
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by Max@Math Revolution » Sat Aug 01, 2015 4:29 am
From the original condition, angle x + angle SQP + angle SUP + angle P (90) = 360
We have 3 variables and we already have 1 equation above, so we need 2 additional equations, so the answer is C.
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by Max@Math Revolution » Thu Aug 20, 2015 9:39 am
In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem.
Remember equal number of variables and equations ensures a solution.


In original condition, angle X+angle SQP + angle SUP + angle P(90)=360. We have 3 variables and 1 equation. 2 more equations are needed. (1) 1 equation, (2) 1 equation


So, the answer is C.

If you know our own innovative logics to find the answer, you don't need to actually solve the problem.

www.mathrevolution.com


- The one-and-only World's First Variable Approach for DS and IVY Approach for PS that allow anyone to easily solve GMAT math questions.

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