Question: What is the measure of an angle formed by a tangent and a chord through the point of contact?

Options:

1. Equal to the angle subtended by the chord at the center.
2. Equal to the angle subtended by the chord at the circumference.
3. Supplementary to the angle subtended by the chord.
4. Equal to twice the angle subtended by the chord.

Correct Answer: Equal to the angle subtended by the chord at the circumference.

Solution:

The angle formed by a tangent and a chord through the point of contact is equal to the angle subtended by the chord at the circumference.