SAT Math Multiple Choice Practice Question 205: Answer and Explanation

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Question: 205

7. What is the value of p in the preceding figure?

A. 32
B. 68
C. 80
D. 122
E. 148

Correct Answer: A

Explanation:

A. For this problem, the angles given are supplementary to the angles inside of the triangle, so you can find the measure of two of the interior angles of the triangle. You calculate that 180° - 112° = 68°, and 180° - 100° = 80°. Now that you know two of the angles inside of the triangle, you can find p, the third angle, because you know that the angles in a triangle must add up to 180 degrees, and 180° - 68° - 80° = 32°.

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