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An inscribed angle is formed by two chords in a circle with a common endpoint. Its measure is half the measure of the intercepted arc.
In geometry, an inscribed angle is an angle formed by two chords in a circle that have a common endpoint on the circle. The vertex of the angle is located on the circle, and the sides of the angle are lines that intersect the circle at two different points. To find the measure of an inscribed angle, you can use the property that the measure of the inscribed angle is half the measure of the intercepted arc.
For example, if you have a circle with a central angle of 120 degrees, the measure of the intercepted arc is also 120 degrees. Therefore, the measure of the inscribed angle formed by the two chords is half of 120 degrees, which is 60 degrees.
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