In `Delta PQR`, If `angle R gt angle Q,` then

Options

A. `QR gt PR`
B. `PQ gt PR`
C. `PQ lt PR`
D. `QR gt PR`

Explanation

To solve the problem, we need to analyze the triangle PQR based on the given information that angle R is greater than angle Q.

### Step-by-Step Solution:

1. **Identify the Angles**:
- We have triangle PQR with angles at vertices P, Q, and R.
- Let angle R be denoted as ∠R and angle Q as ∠Q.
- According to the problem, we know that ∠R > ∠Q.

2. **Identify the Sides Opposite to the Angles**:
- The side opposite to angle R (∠R) is side PQ.
- The side opposite to angle Q (∠Q) is side PR.

3. **Apply the Triangle Inequality Theorem**:
- The theorem states that in a triangle, the side opposite to a greater angle is longer than the side opposite to a smaller angle.
- Since ∠R > ∠Q, it follows that the side opposite to ∠R (which is PQ) must be greater than the side opposite to ∠Q (which is PR).

4. **Conclusion**:
- Therefore, we can conclude that PQ > PR.

5. **Select the Correct Option**:
- Based on our conclusion, we can say that the correct option is that PQ is greater than PR.

### Final Answer:
- PQ > PR.