# Question of the Day

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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 ?

# You got it!

### Explanation

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, .

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