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SAT官方每日一题附答案和解析[数学](2016年12月8日)

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答案:A

解析:

Choice A is correct. The diagonal through the figure forms a transversal of the upper and lower sides. Since this is a parallelogram, the alternate interior angles are congruent.

pic 2
Below, the alternate interior angle of the 72° angle is labeled.
Now use the interior angle sum property of triangles to solve for the measurement x°. Recall that the interior angles of a triangle have a sum of 180°.
Likewise, adjacent angles of a parallelogram are supplementary. Thus, 72+x+60=180.


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