Answer:
Y = 23°
X = 28°
Step-by-step explanation:
[] First, we can tell that (5y - 4) + (3y) = 180 because the parallel lines allow for corresponding angles, and then they are supplementary;
(5y - 4)° + (3y)° = 180°
5y° - 4° + 3y° = 180°
8y° - 4° = 180°
8y° = 184°
y = 23°
[] Next, we can solve for (5y - 4) and use that number as a corresponding angle to solve for (2x + 13);
5y - 4
5(23) - 4
115 - 4 = 111
[] Last, we will solve for x using the same reasoning as how we solved for y;
111° + (2x + 13)° = 180°
111° + 2x° + 13° = 180°
111° + 2x° + 13° = 180°
124° + 2x° = 180°
2x = 56°
x = 28°
