Write down, with reasons, THREE other angles equal to x.

8.2.1 Write down, with reasons, THREE other angles equal to x.

Here are three angles equal to $x$:

1. $\angle BAD = x$ Reason: Angles in the same segment (angles subtended by the same arc BD are equal).
2. $\angle CBE = x$ Reason: Tan-chord theorem (the angle between the tangent CA and chord BE is equal to the angle in the alternate segment, $\angle BDE$).
3. $\angle EAF = x$ Reason: Alternate angles (BD || AO, transversal AE).