ISEE Mathematics Achievement Question 282: Answer and Explanation
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Question: 282
12.
PO and QO are radii of the circle with center O. What is the value of x ?
- A. 30
- B. 45
- C. 60
- D. 90
Correct Answer: B
Explanation:
B Even though the length of the radius is unknown, it is still possible to find the angle measurements. There is a 90° angle in the center of the circle, and both OQ and OP are radii of the circle, which means they are the same length. Therefore, this is an isosceles right triangle, meaning the two smaller angles are congruent. All triangles have 180°, so 180° - 90° = 90°. The two smaller angles add up to 90°, so . The correct answer is (B).