SAT Math Multiple Choice Practice Question 98: Answer and Explanation

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Question: 98


The angle marked a in the drawing above measures

A. 30°
B. 100°
C. 130°
D. 140°
E. 150°

Correct Answer: E


E. The missing angle in the triangle must be 30°. And because a and this angle make a straight line (180°), a must be 150° (the difference of 180 - 30). In case you're interested, the great world of geometry has also come up with a rule for this sort of problem: The exterior angle of a triangle is always equal to the sum of the two remote interior angles.

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