Answer:
see below, answers are underlined
Explanation:
1. Vertical angles are 2 angles that are on opposite sides of each other and are the same value. So, 2 angles that are considered vertical angles would be MPN (5y) and LPO (95)
2. Adjacent angles are 2 angles that are right next to each other on the same line and when added, they equal 180. So, 2 angles that are adjacent angles are MPL (5x) and MPN (5y)
3. Using what we know about adjacent and vertical angles, we can solve to find x in 2 different ways:
--> 5x=85 (vertical angles), x=17
--> 5x+95=180 (adjacent angles), x=17
4. Using what we know about adjacent and vertical angles, we can solve to find y also in 2 different ways:
-->5y=95 (vertical angles), y=19
-->5y+85=180 (adjacent angles), y=19
Hope this helps! :)