Answer:
7. adjacent (next to each other)
8. vertical (right across from each other)
9. vertical (right across from each other)
10. neither
11. adjacent (right next to each other)
12. neither
Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...
13. ∠SYX = 76°
14. ∠XYW = 40°
15. ∠WYV = 64°
These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.
16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°
∠SYW = 106°
17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°
∠TYX = 140°
18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°
∠VYX = 104°
I hope this helps you understand the concept! Have a great day!
