Respuesta :
Answer: If the sum of the measures of two angles is not 90°, then they are not complementary angles.
Step-by-step explanation:
Contrapositive of p → q is ~q → ~p where p is the hypothesis and q is the conclusion.
Hypothesis (p) = Two angles are complementary
~p = Two angles are not complementary
Conclusion (q) = The sum of their measures is 90°
~q = The sum of their measures is not 90°
~ p → ~q = If the sum of the measures of two angles is not 90°,
then they are not complementary angles.
If the contrapositive of p is if two angles are NOT complementary, then the sum of their measures is NOT 90deegrees
Contrapositive statements
These are statements that negates the given statement:
Given the statement; If two angles are complementary, then the sum of their measures is 90
Form the hypothesis
Hypothesis (p) = Two angles are complementary
~p = Two angles are not complementary
Conclusion (q) = The sum of their measures is 90°
~q = The sum of their measures is not 90°
Hence the statement that is the contrapositive of p is if two angles are NOT complementary, then the sum of their measures is NOT 90deegrees
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