(a) In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.
*insert image*
(i)Calculate the angle BDC
(ii) Calculate angle ABD
(iii) Find angle BAD
(iv) What type of triangle is triangle ABD ?

(b)Using a ruler and a pair of compasses only, construct triangle XYZ, with |YZ| = 8cm, angle XYZ = 60° and |XY|=9cm.
Measure
(i) angle YZX;
(ii) |XZ|