What is the reason for step 5 in this proof?

a .vertical angles theorem
b. opposite interior angles of a parallelogram are congruent.
c. all angles of a rectangle have the same measure.
d. alternate interior angles theorem

Opposite interior angles of a parallelogram are congruent.

Step-by-step explanation:

To answer this question let's do it step by step. So step

1) Consider the parallelogram GDEF

2) Trace a straight line, since two points define a line. Trace and another

3) Consider these pair of parallel segments:

4) Now let's examine the angles. According to Euclides since DE and GF are parallels we can say that:

5) This step is the conclusion of the previous one, since alternate interior angles have the same measure, so

Opposite interior angles of a parallelogram are congruent.

x + 107

step-by-step explanation:

let's say that the number he had before the mistake was x. then, he will have 107 dollars more than this, so the answer is x + 107.

i need a picture

step-by-step explanation: