In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ∠SOQ?

Question

Accepted Answer

- In rhombus PQRS, O is an interior point such that OP = OR.
- We are to find the degree measure of ∠SOQ.

#### Reasoning:
- In a rhombus, the diagonals bisect each other at right angles (90°).
- The property OP = OR means that point O is equidistant from P and R.
- This implies that O lies on the perpendicular bisector of PR, which is the diagonal QS.
- The angle ∠SOQ is formed at O between lines SO and QO.
- Since O is equidistant from P and R, and lies on diagonal QS, the angle between SO and QO is a straight angle, i.e., 180°.

### Final Answer:
**2. 180°**

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