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Q: What is the formula for the arc tangent 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.


If the measure of a tangent angle is 36 then what is the measure of the intercepted arc inside the angle?

72


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


What is the formula in getting a tangent?

For a right angle triangle: tangent = opposite/adjacent


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


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

108 degrees