The document contains worked examples and multiple choice practice questions about properties of angles and circles. In the first example, the values of angles QPR and MQO are calculated using properties of angles in triangles and circles. In the second example, the value of angle x is calculated using the given information about angles in a circle diagram. The multiple choice questions test properties such as: angles subtended by arcs, angles in cyclic quadrilaterals, angles between chords/tangents and radii/diameters, and angles at the center being twice the angle at the circumference.