Question

1. fill in the blanks to complete the alternate form of the statement. say whether it is true or false. \if two angles are a linear pair, then the angles add to 180 degrees.\ converse: if two angles \\(\square\\), then the angles \\(\square\\). true or false: \\(\square\\)

Explanation:

To form the converse of a conditional statement "If \(p\), then \(q\)", we swap \(p\) and \(q\). Here, the original statement is "If two angles are a linear pair (\(p\)), then the angles add to 180 degrees (\(q\))". So the converse swaps \(p\) and \(q\). Two angles that add to 180° (supplementary angles) don’t have to be adjacent (a linear pair), e.g., two non - adjacent angles in a parallelogram can be supplementary but not a linear pair, so the converse is false.

Answer:

Converse: If two angles \(\boldsymbol{\text{add to 180 degrees}}\), then the angles \(\boldsymbol{\text{are a linear pair}}\).
True or False: \(\boldsymbol{\text{False}}\)