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

User Wmute
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2 Answers

5 votes

Answer:

false

Explanation:

User Zachary Kuhn
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8.6k points
3 votes

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=(1)/(2)~arc~{AB.

True or False? The measure of a tangent-chord angle is half the measure of the intercepted-example-1
User Lakerfield
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