or the following questions, use the statement below.

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

Which of the following is an inverse 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

The original statement is: "If two angles are both 25 degrees, then they are congruent angles."

The inverse of a statement is formed by negating both the hypothesis and the conclusion. The hypothesis here is "two angles are both 25 degrees," and the conclusion is "they are congruent angles."

To form the inverse, we negate both parts:

Hypothesis: "Two angles are not both 25 degrees."
Conclusion: "They are not congruent angles."

Thus, the inverse statement becomes: "If two angles are not both 25 degrees, then they are not congruent angles."

Now, looking at the provided responses, the correct inverse is:

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

(Note: It seems that the wording in the answer option might be slightly incorrect based on the negation, but this option closely resembles the correct form regarding the context.)