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Q: Is there a difference between the arc of a chord and the arc of an angle?
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Is it true or false that the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle?

It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.


In a circle what is the difference between a central angle and an arc?

In a circle what is the difference between a central angle and an arc?Read more: In_a_circle_what_is_the_difference_between_a_central_angle_and_an_arc


What is the difference between an arc and a chord?

If you take two distinct points on a curve, the arc is the part of the curve connecting the two points while the chord is the straight line connecting them.


Explain the difference between a central angle and an inscribed angle?

A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.


If the measure of a tangent-chord angle is 74 then what is the measure of the intercepted arc inside the angle?

DK


If the measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?

108


The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle?

True -


The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?

false


If Measure of tangent-chord angle is 74 degrees then what is the intercepted arc inside the angle?

148


If the measure of a tangent-chord angle is 68 degrees then what is the measure of the intercepted arc inside the angle?

136


The measure of a tangent-chord angle is half the measure of the intercepted arc outside the angle?

false


The measure of a tangent chord angle is 68 then what is the measure of the intercepted arc inside the angle?

136 degrees