(a) Make m the subject of the relations . (b) In the diagram, WY and WZ are straight lines, O is the centre of circle WXM and < XWM = 48°. Calculate the value of < WYZ. (c) An operation is defind on the set X = {1, 3, 5, 6} by where . (i) Draw a table for the operation. (ii) Using the table, find the truth set of : (I) ; (II) .
Explanation
(a) (b) In the diagram above, < WXM = 90° (angle in a semicircle) < WMX = 180° - (90° + 48°) = 42° < XMZ = 180° - 42° (angles on a straight line) = 138° < WYZ = 180° - 138° (opp. angles of a cyclic quadrilateral) = 42° (c)