Find the value of angle CAE (x) and angle BDC (y) in the given diagram, using the provided angle measures.

Here's how to solve for $x$ and $y$:

Part a)
We need to find the value of $x = \angle CAE$.

Step 1: Identify the arcs subtended by the given angles.

• $\angle CEB = 20^\circ$. This angle is subtended by arc CB. Therefore, the measure of arc CB is $m(\text{arc CB}) = 2 \times \angle CEB = 2 \times 20^\circ = 40^\circ$.
• $\angle DFB = 70^\circ$. This angle is subtended by arc DB. Therefore, the measure of arc DB is $m(arc DB) = 2 \times \