Geometry Practice

In a cyclic quadrilateral ABCD, angle A = (2x + 10) degrees and angle C = (3x + 20) degrees. What is the measure of angle C?

Each interior angle of a regular polygon is 156°. How many sides does the polygon have?

PA and PB are tangents drawn from an external point P to a circle with centre O. If angle APB = 50 degrees, what is the measure of angle OAB?

Two parallel chords of lengths 16 cm and 30 cm lie on opposite sides of the centre of a circle of radius 17 cm. What is the distance between the chords?

In triangle ABC, AB = 7 cm, AC = 9 cm and BC = 8 cm. What is the length of the median AD drawn to side BC?

In a circle with centre O, chord AB subtends an angle of 110 degrees at the centre. C is a point on the minor arc AB. What is the measure of angle ACB (in degrees)?