Given HEC and DFG are straight lines, AB || DEG, = 92°, = 35°, = x, = y, find x and y.

12.

a) To calculate the values of $x$ and $y$:

Given:

• HEC and DFG are straight lines.
• AB is parallel to DEG (line DFG).
• $\angle \text{CBE} = 92^\circ$
• $\angle \text{ABF} = 35^\circ$
• $\angle \text{EBF} = x$
• $\angle \text{BFE} = y$

Step 1: Find the value of $x$.
Angles on a straight line sum to $180^\circ$. The angles $\angle \text{CBE}$, $\angle \text{EBF