Answer: \(\angle{2}=\angle{6}\), because they are corresponding angles of parallel lines cut by a transversal.
\(\angle{5}=\angle{8}\) by Vertical angles theorem.
Step-by-step explanation:
From the given picture, we can see there are two parallel lines r and s intersected by a transversal line t.
Since corresponding angles of parallel lines cut by a transversal.
Therefore they must be equal.
Then, \(\angle{2}=\angle{6}\)
Also, since \(\angle{5}\text{ and }\angle{8}\) are vertical angles.
Vertical angles theorem says that vertically opposite angles at any cross section must be equal.
\(\angle{5}=\angle{8}\) by Vertical angles theorem.
