SAT Math Multiple Choice Question 757: Answer and Explanation

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Question: 757

7. Images

In the figure above, what is the value of a + b?

  • A. 212
  • B. 238
  • C. 296
  • D. 328

Correct Answer: A

Explanation:

A

Additional Topics (triangles) MEDIUM

It helps to mark the measures of the other two interior angles to the triangle as c° and d°, because we know something about these angles.

Images

Since angles in a triangle must have a sum of 180°:

c + d + 32 = 180

Subtract 32:

c + d = 148

Since angles in a linear pair have a sum of 180°:

a + c = 180

b + d = 180

Add previous two equations:

a + b + c + d = 360

Subtract c 1 d 5 148:

Images

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