Question

1. Solve for x and y: (4 points)
Y: __________

X:__________

Answer 1

Y = 23°

X = 28°

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°