Inscribed angle theorem
The measure of an inscribed angle is half the measure of the intercepted arc.
Inscribed angle corollary #1
Two inscribed angles that intercept the same arc are congruent.
Inscribed angle corollary #2
An angle inscribed in a semicircle is a right angle.
Inscribed angle corollary #3
The opposite angle of a quadrilateral inscribed in a circle are supplementary.
Tangent and chords theorem
The angle formed by a tangent and a chord is half the measure of the intercepted arc.