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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?
Wiki User
∙ 13y ago
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.
Willis Lavis
Wiki User
∙ 13y agofalse
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The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?
false
The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs?
True
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
If an intercepted arc measures 124 degrees what is the measure of its inscribed angle?
The answer is half the measure, 62°. Have a nice day!
In triangle ABC the measure of angle B is 40 less than the measure of angle A the measure of angle C is 20 more than twice the measure of angle A what is the measure of angle C?
A = 60 B = 20 C = 140 This can have a large number of answers.
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 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 the measure of a tangent-chord angle is 74 then what is the measure of the intercepted arc inside the angle?
DK
The measure of a tangent chord angle is 68 then what is the measure of the intercepted arc inside the angle?
136 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
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 Measure of tangent-chord angle is 74 degrees then what is the intercepted arc inside the angle?
148
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.
