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Q: What is the measure of an inscribed angle that intercepts an arc whose measure is 70?

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(360 - 104)/2 = 128 degrees.

Not if the curve is not 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.

Inscribed angle

An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.

Inscribed angle

It is an inscribed angle.

An inscribed angle.

False. There are infinitely many angles at the centre of the circle.

20 degrees

An angle whose measure is exactly 180 degrees is a straight angle.

Right Angle

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