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Take the inverse tangent -- tan-1(opposite side/adjacent side)

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If A tangent tangent angle intercepts two arcs that measure 135 degrees and 225 degrees what is the measure of the tangent tangent angle?

The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).


A tangent-tangent angle intercepts two arcs that measure 149 and 211 What is the measure of the tangent-tangent angle?

31 degrees


A tangent-tangent angle intercepts two arcs that measure 135 and 225 What is the measure of the tangent-tangent angle?

45 degrees


A tangent-tangent angle intercepts two arcs that measure 164 and 196 What is the measure of the tangent-tangent angle?

196-164/2= 16


A tangent-tangent angle intercepts two arcs that measure 124 and 236 What is the measure of the tangent-tangent angle?

236-124/2=56 degrees


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

72


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.


How does the tangent of an acute angle change as the angle measure increases?

it will increase


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