Which theorem would be used to write 4x+4=92 in the diagram below?

C) Alternate interior angles

The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.

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)