(a) Supplementary and corresponding angles give \(\boxed{a=142,b=142}\). (b) Exterior=360/12=30°, interior=\(\boxed{150^\circ}\). (c) Alternate segment theorem gives \(\boxed{f=56}\). Radius OM is perpendicular to the tangent, so OMP=90−56=34°. OM=OP, so \(\boxed{g=34}\). (d) The triangle opposite k has third angle 180−24−27=129°. Opposite cyclic angles sum to 180°, so \(\boxed{k=51}\).