Math is not my strongest subject : /

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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)