Answer: The answer is TRUE.
Step-by-step explanation: The given statement is
"The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle."
We are to check whether the above statement is true or false.
We have a theorem in geometry that states that
An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc
.
Therefore, the given statement is true. An image verifying the above theorem and given statement is attached herewith.
In the figure, AB is a chord of the circle and BC is the tangent at the point B. So, according to the theorem, we have
[tex]m\angle ABC=\dfrac{1}{2}~arc~{AB.[/tex]
