Draw a circle of any radius with centre O.
Mark any four points A, B, C and D on the boundary of the circle
MEASURE THE ANGLE [math]\angle[/math]A
MEASURE THE ANGLE [math]\angle[/math]B
MEASURE THE ANGLE [math]\angle[/math]C
MEASURE THE ANGLE [math]\angle[/math]D
SUM OF THE ANGLES [math]\angle[/math]A+[math]\angle[/math]C
SUM OF THE ANGLES [math]\angle[/math]B+[math]\angle[/math]D
SUM OF THE OPPOSITE ANGLES IS ALWAYS
OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL IS