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## Official Guide Explanation:Problem Solving #30

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Solution and Metadata

Question: 30
Page: 65
Difficulty: 5 (Moderate)
Category 1: Geometry > Intersecting Lines and Angles >
Category 2: Algebra > Linear Equations-Two Unk >

Explanation: You're given one equation, and the diagram gives you the other. The sum of the degrees in a straight line in 180, so x + y = 180. Plug that into the other equation, and your result is ((x)/180) = (3/8). Simplify by cross - multiplying: 8x = 180(3) = 540. The final steps: x = (540/8) = (270/4) = (135/2) = 67.5, choice (B).

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