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If the measure of a tangent-chord angle is 36 then what is the measure of the intercepted arc inside the angle?
Wiki User
∙ 9y ago
-- You have two tangents to a circle, meeting at a point outside the circle.
At the point where they meet, the angle between them is 36°.
-- Draw the two radii inside the circle, from the center to the points where
the two tangents graze the circle. The angle between these two radii is the
measure of the intecepted arc.
-- A seldom-remembered little corollary from geometry:
When you have a line that's tangent to a circle, the radius of the circle
drawn to the point of tangency is perpendicular to the line there.
-- So you have a quadrilateral, with vertices at the two points of tangency,
the center of the circle, and the external point where the tangents meet.
-- Three of the angles are: ==> 90° at each point of tangency,
==> 36° degrees at the external point.
-- The sum of the 4 angles inside a quadrilateral is 360°.
We know three of them inside this particular quadrilateral.
The amount left for the angle at the center of the circle is (360°) - (2x 90°) - (36°) = 144°.
The answer that was here before was a number followed by " APEX lol "
I deleted it because this website doesn't like to be used to facilitate
cheating between visitors involved with APEX.
lol
Wiki User
∙ 9y ago
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If the measure of a tangent angle is 36 then what is the measure of the intercepted arc inside the angle?
72
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 54 degrees then what is the measure of the intercepted arc inside the angle?
108 ;)
The measure of an angle formed by two secants intersecting inside the circle equals?
½ the sum of the intercepted arcs.
What is the measure of the intercepted arc If a central angle has a measure of 45 degrees?
360 degree
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
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 54 degrees then what is the measure of the intercepted arc inside the angle?
108 ;)
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.
