A pair of tangents can be constructed to a circle inclined at an angle of `170^(@)`

Explanation

To solve the problem of constructing a pair of tangents to a circle inclined at an angle of 170 degrees, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: We need to determine if a pair of tangents can be constructed to a circle such that the angle between the tangents is 170 degrees.

2. **Recall the Condition for Tangents**: The angle between the two tangents drawn from an external point to a circle must be greater than 0 degrees and less than 180 degrees for them to be constructible.

3. **Check the Given Angle**: The given angle is 170 degrees. We need to check if this angle satisfies the condition mentioned above.

4. **Evaluate the Condition**:
- Since 0 degrees < 170 degrees < 180 degrees, the angle of 170 degrees lies within the permissible range.

5. **Conclusion**: Since the angle between the tangents is valid (greater than 0 and less than 180 degrees), we can conclude that a pair of tangents can indeed be constructed to the circle inclined at an angle of 170 degrees.

### Final Statement:
Therefore, the answer is that a pair of tangents can be constructed to a circle inclined at an angle of 170 degrees.

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