<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>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>