Here, we want to state the relationship between each given angle pair
∠1 and ∠8
These are alternate exterior angles. The relationship between the two is that the are alternate exterior angles and they are supplementary. What this mean is that they add up to 180 degrees
∠5 and ∠6
These two are supplementary angles. Looking at them, they lie on the same line. This adds them together to be 180
∠6 and ∠8
These two angles are corresponding angles. They lie on the same position on two parallel lines which is cut by a transversal
∠2 and ∠3
These two angles are supplementary angles. They add up to be 180
∠4 and ∠7
These are vertically opposite angles. Mathematically,vertically opposite angles are equal
∠6 and ∠3
These angles are alternate to each other. Mathematically, alternate angles are equal. So what this mean is that these angles are equal to each other in magnitude