For the following questions, use the statement below.

If two angles are both 25 degrees, then they are congruent angles.
Which of the following is a contrapositive of the statement?(1 point)
Responses

If two angles are not 25 degrees, then they are not congruent angles.
If two angles are not 25 degrees, then they are not congruent angles.

If two angles are congruent, they are both 25 degrees.
If two angles are congruent, they are both 25 degrees.

If two angles are not congruent angles, then they cannot both be 25 degrees.
If two angles are not congruent angles, then they cannot both be 25 degrees.

None of the above.

1 answer

To determine the contrapositive of a statement, we first need to understand the original statement's structure. The statement provided is:

"If two angles are both 25 degrees, then they are congruent angles."

This can be broken down as follows:

P: Two angles are both 25 degrees.
Q: They are congruent angles.

The contrapositive of a statement "If P then Q" is "If not Q then not P."

In this case, the contrapositive would be:

"If they are not congruent angles, then they cannot both be 25 degrees."

Among the provided responses, the correct contrapositive is:

If two angles are not congruent angles, then they cannot both be 25 degrees.

So the answer is:

If two angles are not congruent angles, then they cannot both be 25 degrees.