Determine, with reasons, a, b, c, d, e and f.

Here are the solutions for , Question 2:

2.1 Determine, with reasons, $a, b, c, d, e$ and $f$.

• For the left circle (containing U, Z, W, V):
  • Quadrilateral UZWV is a cyclic quadrilateral.
  • $\angle UZW + \angle UVW = 180^\circ$ (Opposite angles of a cyclic quadrilateral are supplementary).
    • $f + 101^\circ = 180^\circ$
    • $f = 180^\circ - 101^\circ = 79^\circ$
    • Therefore, $\boxed{f =