Question

Math is not my strongest subject :/

Answer 1

The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so

5x + 4y = 74

The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so

20x + 4y = 164

Then

(20x + 4y) - (5x + 4y) = 164 - 74

(20x - 5x) + (4y - 4y) = 90

15x = 90

x = 6

which means

5*6 + 4y = 74

4y = 44

y = 11