If two angles are both 25 degrees, then they are congruent angles.
5. Which of the following is an inverse of the statement?
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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 not congruent angles, then they cannot both be 25 degrees.
None of the above.
If two angles are not congruent angles, then they cannot both be 25 degrees.
The inverse of the statement "If two angles are both 25 degrees, then they are congruent angles" is "If two angles are not both 25 degrees, then they are not congruent angles".
Therefore, the correct answer is "If two angles are not both 25 degrees, then they are not congruent angles."
To find the inverse of a statement, we need to negate both the hypothesis (the "if" part) and the conclusion (the "then" part) of the original statement.
The original statement is: "If two angles are both 25 degrees, then they are congruent angles."
The negation of the hypothesis is: "If two angles are not both 25 degrees."
The negation of the conclusion is: "They are not congruent angles."
Combining these, we get: "If two angles are not both 25 degrees, then they are not congruent angles."
Among the provided options, the answer is:
If two angles are not 25 degrees, then they are not congruent angles.