A pair of tangents can be constructed
Question:

A pair of tangents can be constructed to a circle inclined at an angle of 170°.

Solution:

True

If the angle between the pair of tangents is always greater than 0 or less than $180^{\circ}$, then we can construct a pair of tangents to a circle.

Hence, we can drawn a pair of tangents to a circle inclined at an angle of $170^{\circ}$.

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