Question

choose the converse of the conditional statement and decide whether it is true or false.
if two angles form a linear pair, then they are supplementary.
the converse of the conditional statement is: if two angles

, then they are

this statement is

Explanation:

The original conditional statement is "If two angles form a linear pair, then they are supplementary." The converse of a conditional statement "If \(p\), then \(q\)" is "If \(q\), then \(p\)". Here, \(p\) is "two angles form a linear pair" and \(q\) is "they are supplementary". So the converse is "If two angles are supplementary, then they form a linear pair". Supplementary angles are two angles whose sum is \(180^{\circ}\). For example, two angles of \(100^{\circ}\) and \(80^{\circ}\) that are not adjacent (do not form a linear - pair) are supplementary. A linear pair of angles must be adjacent and form a straight line (sum to \(180^{\circ}\)). So the converse is false.

Answer:

The converse of the conditional statement is: If two angles are supplementary, then they form a linear pair. This statement is false.