Identify the line segments that are congruent and measure each angle.

The diagram shows the following angle measures:

• $\angle AFB = 40^\circ$
• $\angle BFC = 80^\circ$
• $\angle CFD = 35^\circ$
• $\angle DFE = 25^\circ$

$\angle AFD$ is the sum of $\angle AFB$, $\angle BFC$, and $\angle CFD$.

$$\angle AFD = \angle AFB + \angle BFC + \angle CFD$$ $$\angle AFD = 40^\circ + 80^\circ + 35^\circ$$ $$\angle AFD = 155^\circ$$

$\angle CFE$ is the sum of $\angle CFD$ and $\angle DFE$.

$$\angle CFE = \angle CFD + \angle DFE$$ $$\angle CFE = 35^\circ + 25^\circ$$ $$\angle CFE = 60^\circ$$

Here are the answers for each angle: 7. AFB: $\boxed{\text{}40^\circ\text{}}$ 8. DFE: $\boxed{\text{}25^\circ\text{}}$ 9. BFC: $\boxed{\text{}80^\circ\text{}}$ 10. AFD: $\boxed{\text{}155^\circ\text{}}$ 11. CFE: $\boxed{\text{}60^\circ\text{}}$