# SAT Math Multiple Choice Question 698: Answer and Explanation

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**Question: 698**

**8.**

In the figure above, line segments and 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 *m* ∠ *BED* + 90° + 50° = 180°, and so *m* ∠*BED* = 40°. Since ∠*AEC* is vertical to ∠*BED*, it must also have a measure of 40°, and so

40 + *x* + *x* = 180

Simplify:

40 + 2*x* = 180

Subtract 40:

2*x* = 140

Divide by 2:

*x* = 70