Inscribed Angles 2-07-19

Inscribed angles are angles formed in the interior of a circle when two secant lines intersect on the circle. If an angle is inscribed in a circle, then the measure of the angle equals 1/2 the measure of its intercepted arc. If two inscribed angles of a circle intercept the same arc or congruent arcs, then the angles are congruent. An inscribed angle of a triangle intercepts a diameter or a semicircle iff the angle is a right angle. If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. It can also be defined as the angle subtended at a point on the circle by two given points on the circle. When the inscribed angle is 50 degrees, the intercepted arc measure is 100 degrees.