Question

True or False? The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.

Answer 1

Answer:

the answer is TRUE

Step-by-step explanation:

Answer 2

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

$m\angle ABC=\dfrac{1}{2}~arc~{AB.$