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If the measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108
What is a central angle and what is the relationship of the central angle and the intercepted arc?
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
True or false the measure of a tangent chord angle is half the measure of the intercepted arc outside the angle?
True
What measure of a intercepted arc?
Examples to show how to use the property that the measure of a central angle is equal to the measure of its intercepted arc to find the missing measures of arcs and angles in given figures.
Does a central angle and its intercepted arc have the same measure?
yes or true
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 twice the measure of the intercepted arc inside the angle?
false
If the measure of a tangent-chord angle is 54 degrees then what is the measure of the intercepted arc inside the angle?
108 ;)
The measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?
108 degrees
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 68 then what is the measure of the intercepted arc inside the angle?
136 degrees
If Measure of tangent-chord angle is 74 degrees then what is the intercepted arc inside the angle?
148
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.
The measure of an angle formed by two secants intersecting inside the circle equals?
½ the sum of the intercepted arcs.
The measure of an angle formed by intersecting chords is of the sum of the measures of the intercepted arcs?
It is the measure of half the intercepted arc.
