Inscribed Angles

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

The measure of an inscribed angle is half the measure of the arc it intercepts.

To find the measure of an inscribed angle, divide the measure of the intercepted arc by 2.

The measure of the inscribed angle is 40 degrees.

If two inscribed angles intercept the same arc, they are equal in measure.

The measure of the inscribed angle is 60 degrees.

The measure of a central angle is twice the measure of the inscribed angle that intercepts the same arc.

The measure of the intercepted arc is 60 degrees.

The vertex of an inscribed angle is located on the circumference of the circle, which is essential for defining the angle.

The measure of the angle formed by two secants intersecting outside a circle is half the difference of the measures of the intercepted arcs.