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35 degrees :)

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Q: Line HA is tangent to the circle If arc AB is 90 degrees and arc AG 20 degrees. What is the measure of angle 1?
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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.


A angle has measure of 180?

An angle with a measure of 180 degrees will look like a straight line with the vertex being a point in the center. Since a complete circle is 360 degrees, opening an angle to 180 degrees traces out exactly half a circle.


What is the measure if an arc that has 148 degrees tangent chord angle?

16*pi*r/45 where r is the radius.


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

Related questions

What is the measure of the angle formed between a tangent and the diameter of a circle?

It is 90 degrees between the circle's diameter and its tangent


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 124 and 236 What is the measure of the tangent-tangent angle?

236-124/2=56 degrees


What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 230?

-- The major arc = 230 degrees-- The minor arc ... the arc between the tangents ... is (360 - 230) = 130 degrees.-- The line from the vertex of the angle to the center of the circle bisects the arc,so the angle between that line and the radius to each tangent is 65 degrees.-- The radius to each tangent is perpendicular to the tangent. So the radius, the tangent,and the line from the vertex to the center of the circle is a right triangle.-- In the right triangle, there's 90 degrees where the radius meets the tangent, and65 degrees at the center of the circle. That leaves 25 degrees for the angle at thevertex.-- With another 25 degrees for the right triangle formed by the other tangent,the total angle formed by the two tangents is 50 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


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 ;)


Where is the tangent secant angle on a circle?

The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.


How do we measure an angle?

A protractor can be used to measure an angle. An angle is basically part of a circle. A complete circle is 360 degrees. A right-angle is 90 degrees, half a circle is 180 degrees, and so on.


What it the measure of the tangent-chord angle when a circle is divided into three arcs in the ratio of 2 3 4 with the tangent-chord intercepting the smallest of the three arcs?

An angle formed by a tangent and a chord is measured by one-half its intercepted arc. Let x = unit part, so that our angle measure is x degrees (2x/2). Since there are 360 degrees in a circle, then 2x + 3x + 4x = 360 9x = 360 x = 40 (answer)