ISEE Mathematics Achievement Question 222: Answer and Explanation

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Question: 222

6. In the following figure, if ∠6 measures 90°, what is the measure of ∠1?

  • A. 25°
  • B. 35°
  • C. 45°
  • D. 55°

Correct Answer: C

Explanation:

C is correct. In this problem ∠6 measures 90°. Thus ∠3 also measures 90°. Because the two sides of the triangle are equal, it is an isosceles triangle. That makes ∠1 and ∠2 equal. Since ∠3 = 90°, that leaves 90° to be split equally between ∠1 and ∠2. So each angle measures 45°.

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