Impossible to solve Gruber's Math Question

<p>Here is the problem: <a href="http://oi60.tinypic.com/a1sc92.jpg"&gt;http://oi60.tinypic.com/a1sc92.jpg&lt;/a&gt;&lt;/p>

<p>If you know how to get the answer, please help me by explaining step by step and telling all the principles and properties involved.</p>

<p>Not enough info. If you construct triangle ABD with angle D = 30 deg, then by varying x, you can generate infinitely many solutions for x,y,z.</p>

<p>Where did you get this problem? It appears to be of extremely low quality, as if no one test-solved it. As someone who has written mock math exams, just looking at this problem gives me a headache.</p>

<p>I got this question from Gruber’s Complete SAT Math Workbook, the Geometry- Triangle Instructional Material - Practice test.</p>

<p>I came through a few other questions like this which made my brain burst. This kinda makes me question all the CC posters who keep recommending Gruber’s Math book.</p>

<p>The given answers are:</p>

<ol>
<li>y = 50 degrees</li>
<li>x = 25</li>
<li>z = 80</li>
</ol>

<p>Again, unless we had additional information about the diagram there is no way I would’ve come up with those answers. Maybe y = 52 deg, x = 26, z = 76.</p>

<p>Actually, it is a very easy problem to solve through plugins based on</p>

<p>22.5 < X < 30 and 2x = y if you want. </p>

<p>Plug in 25 for x and you find POSSIBLE values for x, y, z. It does NOT matter if different values work. You only have to identify three that work. </p>

<p>Well,ok. But when a real SAT question has a range of possible answers, they say so. </p>

<p>^
Why it is not a good idea to use synthetic tests. ;)</p>

<p>It remains that the problem was not impossible to solve, but simply a poor problem in terms of SAT prep. </p>

<p>Perhaps, this is a good time to post another problem from the great Gary</p>

<p><a href=“http://www.drgarygruber.com/images/genius1%20triangle.jpg”>drgarygruber.com;

<p>Yeah, if the problem said “find a possible value for x” instead of “find x,” that would be much better written.</p>

<p>@xiggi ah yes, the classic ■■■■■ geometry problem, lol.</p>

<p>Geometry helps the trolls find the perfect hanging angles. ;)</p>