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2011年10月19日
考试类型:Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the figure above, 
and 
. If the dashed lines bisect the angles with measures of 
and 
, what is the value of 
?
A. 
B. 
C. 
D.
E. 
正确答案:E 解析:
First, add the labeled points
|
, 
, 
, 
, 
, and 
to the figure, as shown above. Then segment 
bisects 
, so 
, and 
. Thus, 
. Similarly, 
, because 
and 
are of equal measure and the sum of their measures is 
. From the figure, it follows that 
. Therefore, 
.