Compare and contrast the alternate interior angles theorem and the consecutive interior angles theorem.

The comparison and contrast are explained below.

Step-by-step explanation: We are given to compare and contrast the Alternate Interior Angles Theorem and the Consecutive Interior Angles Theorem. These are stated as follows -

The Alternate Interior Angles theorem states that if a transversl cut two parallel lines, then the pairs of alternate interior angles are congruent.

Consecutive Interior Angles Theorem states that if a transversal cut two parallel lines, then the pairs of consecutive interior angles formed are supplementary.

Therefore, the similarity is

Both the Alternate Interior Angles and the Consecutive Interior Angles Theorem deals with two parallel lines and their transversal . In addition, they also give the relation between interior angles.

And the contrast is

The Alternate Interior Angles theorem deals with the congruence of two interior angles. On the other hand, the Consecutive Interior Angles Theorem deals with the supplementaryness of two angles.

step-by-step explanation:

duck you

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."