74.2k views
4 votes
What is the inverse sentence for: If two angles form a linear pair then they are supplementary.

User Adn
by
7.2k points

1 Answer

1 vote

Final answer:

The inverse statement of 'If two angles form a linear pair then they are supplementary' is 'If two angles are supplementary, then they form a linear pair', based on the definition of supplementary angles and linear pairs.

Step-by-step explanation:

The inverse sentence of 'If two angles form a linear pair then they are supplementary' is 'If two angles are supplementary, then they form a linear pair.' This statement is assuming that supplementary angles, by definition, add up to 180° and thus would form a linear pair.

The relationship between angles in a linear pair is such that they are adjacent (share a common side and vertex) and their non-common sides form a straight line. Given this, the sum of their measures is 180°. Hence, when two angles are supplementary, they sum up to 180°, which corresponds to the formation of a linear pair.

User Srinivas Cheruku
by
7.5k points