How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
How to measure angles using degrees or radians.
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
How to find the angle of inclination of a line.
How to define alternate interior angles and their special properties.
How to define alternate exterior angles and their special properties.
How to apply the triangle angle sum theorem.
How to derive the formula to find the sum of angles in any polygon.
How to calculate the area between a square and an inscribed circle.
How to define adjacent angles.
How to use the power reduction formulas to derive the half-angle formulas.
How to use the sine and cosine addition formulas to prove the double-angle formulas.
How to define and identify vertical angles.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to derive two more cosine double-angle formulas.