Question

statement
the measures of two angles add to 90° if and only if the angles are complementary.
if the measures of two angles do not add to 90°, then the angles are not complementary.
relationship to the conditional
inverse
converse
biconditional
contrapositive

Explanation:

Step1: Recall logical statement relationships

In logic, for a conditional statement "if p then q", the contra - positive is "if not q then not p".

Step2: Identify parts of the given statement

Let p be "the angles are complementary" and q be "the measures of two angles add to 90°".

Step3: Analyze the second statement

The statement "If the measures of two angles do not add to 90°, then the angles are not complementary" is in the form "if not q then not p" which is the contra - positive of the conditional statement related to complementary angles.

Answer:

Contrapositive