sat测验差官网站默读一题短简，当今是SAT1数学隔开。Read the following SAT test question, then click on a button to select your answer.
In the figure above, x = 60 and y = 40. If the dashed lines bisect the angles with measures of x° and y°, what is the value of z?
A.25
B.35
C.40
D.45
E.50
Correct Answer: E
Here's Why: 
First, add the labeled points A, B, C, D, E, and O to the figure, as shown above. Then segment  bisects  AOC, so m AOB = m BOC, and m AOB + m BOC = x° = 60°. Thus, m AOB = m BOC = 30°. Similarly, m COD = m DOE = 20°, because COD and DOE are of equal measure and the sum of their measures is y° = 40°. From the figure, it follows that z° = m BOC + m COD = 30° + 20° = 50°. Therefore, z = 50.
Difficulty: Easy
Question Type: Standard Multiple Choice |
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