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It measures half the sum of the arcs it intercepts.

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CordeliaIsIT

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โˆ™ 2021-01-27 17:46:52
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Q: 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?
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Is an inscribed angle which intercepts a major arc an obtuse angle?

Well, not always. An obtuse angle is one that is greater than 90 degrees. Any inscribed angle that intercepts a major arc can be any measurement in which it intercepts.


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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.


Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 60"The measure of the angle is?

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