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45 degrees

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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31 degrees

196-164/2= 16

236-124/2=56 degrees

It measures half the sum of the arcs it intercepts.

20 degrees

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.

True

It is the measure of half the intercepted arc.

true

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

½ the sum of the intercepted arcs.

40, 100 and 83, 143.