SAT Math Multiple Choice Question 698: Answer and Explanation

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Question: 698

8. Images

In the figure above, line segments Images and Images intersect at point E. What is the value of x?

  • A. 60°
  • B. 65°
  • C. 70°
  • D. 75°

Correct Answer: C

Explanation:

C

Special Topics (polygons) EASY

The sum of the measures if the interior angles of a triangle is 180°, therefore mBED + 90° + 50° = 180°, and so mBED = 40°. Since ∠AEC is vertical to ∠BED, it must also have a measure of 40°, and so

40 + x + x = 180

Simplify:

40 + 2x = 180

Subtract 40:

2x = 140

Divide by 2:

x = 70

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