SSAT Math Question 603: Answer and Explanation
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Question: 603
14. 
If ABCD, shown above, is a rectangle, what is the value of w + x + y + z ?
- A. 90°
- B. 150°
- C. 180°
- D. 190°
Correct Answer: C
Explanation:
Notice the three triangles that have been created within the rectangle. Look at the two right triangles that surround the larger (possibly) equilateral triangle in the middle. Since each triangle has a right angle, the other two angles must equal 90o since 180o - 90o = 90o. Thus, in the triangle on the left side that includes side AB, w + x = 90o, and in the triangle on the right side that includes side CD, y + z = 90o. Add all these together to find that 90o + 90o = 180o. The correct answer is (C).