0580 P41 - Nov 2019 - Q1 - 19 marks
13915
(a) AC and BD are straight lines. Find p and q. [3]
(b) A quadrilateral has angles x°, (x+5)°, (2x−25)° and (x+10)°. Find x. [3]
(c) Find the interior angle of a regular 72-sided polygon. [3]
(d) A, B, C, D lie on the circle, centre O; AC is a diameter. PQ is tangent at A. Angle PAD=60° and angle BAC=20°. Find u, v, w, x and y. [6]
(e) In the circle, \(\angle AOC=(3x+22)^\circ,\quad\angle ABC=5x^\circ\). Find x. [4]
