EH is parallel to FG. EG and FH intersect at Z. Angle ZFG=27°.

(a(i)) Find x. [1]

(a(ii)) EH=5 cm, FG=9 cm and ZG=7 cm. Find EZ. [2]

A,B,C,D lie on the circle, centre O. AD is a diameter, AB=BC and angle OAB=52°.

(b) Find angle ADC. [3]

P,Q,R,S lie on a circle, centre O. QS is a diameter, and VT is the tangent at Q.

(c(i)) Complete: angle QPS=angle QRS=___° because ___. [2]

(c(ii)) Complete: angle SQP=___° because ___. [2]

(c(iii)) Using(i) and(ii), what type of quadrilateral is PQRS? [1]