Final answer:
This is a true statement
The contrapositive of the statement 'Two angles measuring 180 degrees are supplementary' is 'If two angles are not supplementary, then they do not measure 180 degrees together', which is true as it aligns with the definition of supplementary angles.
Step-by-step explanation:
The contrapositive of a conditional statement is created by negating both the hypothesis and conclusion of the original statement and reversing them. For the statement 'Two angles measuring 180 degrees are supplementary', the contrapositive would be 'If two angles are not supplementary, then they do not measure 180 degrees together'.
Now, let's determine the truth value of this contrapositive. Supplementary angles are defined as two angles whose measures add up to 180 degrees. The contrapositive states that if two angles are not supplementary (which means they do not add up to 180 degrees), then they cannot be 180 degrees when combined.
This is a true statement, as it is the correct definition of not being supplementary.