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


What is true of the type of angle in this lesson It measures half the difference of the arcs it intercepts. It measures twice the sum of the arc it intercepts. It measures half the sum of the arcs it?

It measures half the sum of the arcs it intercepts.


What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 70 and 30?

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What is the relation between the arc length and angle for a sector of a circle?

A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.


The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs?

True


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.


Measure of an angle formed by intersecting chords is half the sum of measures of the intercepted arcs?

true


What is a congruent arc?

Congruent arcs are circle segments that have the same angle measure and are in the same or congruent circles.


The measure of an angle formed by two secants intersecting inside the circle equals?

½ the sum of the intercepted arcs.


The measure of a secant-secant angle is 30 Which of the choices below could be the measures of the intercepted arcs?

40, 100 and 83, 143.