Question

select the statement that is the contrapositive of the following statement: if the measures of two angles add up to $90^circ$, then they are complementary. answer if the measures of two angles dont add up to $90^circ$, then they arent complementary. if two angles are complementary, then their measures add up to $90^circ$. if two angles arent complementary, then their measures dont add up to $90^circ$. if the measures of two angles add up to $90^circ$, then they arent complementary. submit answer

Explanation:

A contrapositive of a statement "If P, then Q" is "If not Q, then not P". For the given statement, P is "the measures of two angles add up to $90^\circ$", Q is "they are complementary". The contrapositive swaps and negates both parts: "If not Q (angles aren't complementary), then not P (measures don't add up to $90^\circ$)".

Answer:

If two angles aren't complementary, then their measures don't add up to $90^\circ$.