SSAT Math Question 661: Answer and Explanation
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Question: 661
5. 
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:
Even though the length of the radius is unknown, it is still possible to find the angle measurements. There is a 90o angle in the center of the circle, and OQ and OP are both radii of the circle, which means they are the same length. Therefore, this is an isosceles right triangle, meaning the two smaller angles are equal. All triangles have 180o, so 180o - 90o = 90o. The two smaller angles add up to 90o, so 
= 45o. The correct answer is (B).