SAT官方每日一题附答案和解析[数学](2016年12月8日)
日期:2016-12-08 10:22
(单词翻译:单击)
每日一题
Mathematics>Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
Given the parallelogram shown above, what is the value of x°?
A.48°
B.72°
C.108°
D.132°
答案和解析
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.
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.