The Official SAT Question of the Day™

Read the following SAT test question, then click on a button to select your answer.



In the figure above, what is the value of x + y?

A 90
B 95
C 100
D 105
E 110

Answer is B

Here's Why:

Label the remaining angles as shown in the figure below.



Since the sum of the measures of the interior angles of a triangle is 180°, it follows that a + 75 + 20 = 180. Thus, a = 85. Furthermore, vertical angles have the same measure, so z = a = 85. Then, from the triangle on the left, x + y + z = 180, or x + y = 180 – z. Since z = 85, it follows that x + y = 95.


Difficulty: Easy
Question Type: Standard Multiple Choice