Answer:
100 degrees
Step-by-step explanation:
From the given figure, we can see that the sum of <5 and 80 degrees will be 180 degrees;
![\begin{gathered} \angle5+80=180\text{ (sum of angles on a straight line)} \\ \angle5=180-80 \\ \therefore\angle5=100^(\circ) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ma9gp6arvv7kpwbt450ifyid9wusw3739w.png)
We know that alternate interior angles are always equal and we can see from the figure that <5 and <4 are alternate interior angles, so we have that;
![\angle5=\angle4=100^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/68naybv6cj5zg9rq3cpbqrim7rw9fsgf1g.png)