Final answer:
The measure of a tangent-chord angle is indeed half the measure of the intercepted arc inside the angle according to the Inscribed Angle Theorem.
Step-by-step explanation:
The statement is True. In a circle, if a tangent line intersects a chord, the tangent-chord angle formed is half the measure of the intercepted arc inside the angle. This is known as the Inscribed Angle Theorem.
For example, if the intercepted arc inside the angle measures 60 degrees, then the tangent-chord angle would be 30 degrees.
Therefore, the measure of a tangent-chord angle is indeed half the measure of the intercepted arc inside the angle, making the answer True.
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