~Inscribed Angle is an angle whose vertex lies on a circle and whose sides are chords of the circle
~Inscribed Angle Theorem is the themeasure of an angle inscribed in a circle is equal to 1/2 the measure of the intercepted arc
M<ABC = 1/2mAC(the intercepted ark of AC)

___

measue of angle X is 90 drgrees because 1/2 of the ark

If YZ is a diameter of circle

and <YZX is an inscribed angle

then<YZX is a right angle

Right Angle Corollary is if an inscribed angle intercepts a semicircle, then the angle is a right angle

Finding Central Angle Measurements

A central angle is an angle whose vertex is the center of circle and the sides pass through a pair of points on the circle x = 80 degrees

measue of a central angle is equal to the measure of the minor ark

##

## Finding Inscribed Angle Measurements

~Inscribed Angle is an angle whose vertex lies on a circle and whose sides are chords of the circle~Inscribed Angle Theorem is the the measure of an angle inscribed in a circle is equal to 1/2 the measure of the intercepted arc

M<ABC = 1/2mAC(the intercepted ark of AC)

___

measue of angle X is 90 drgrees because 1/2 of the arkIf YZ is a diameter of circleand <YZX is an inscribed anglethen<YZX is a right angleRight Angle Corollary is if an inscribed angle intercepts a semicircle, then the angle is a right angle## Finding Central Angle Measurements

A

central angleis an angle whose vertex is the center of circle and the sides pass through a pair of points on the circlex = 80 degreesmeasue of a central angle is equal to the measure of the minor arkinscribed angle is half of the central angle with common endpointsso then a central angle is double the measure of a inscribed angle with common endpoints