if the following definition of supplementary reversible? if yes write it as a true biconditional supplementary angles are two angles whose sum measures to 180
Yes, the given definition of supplementary angles is reversible.
It can be written as a true biconditional statement: "Two angles are supplementary if and only if their sum measures to 180."
To determine if the given definition of supplementary is reversible, we need to consider if both statements are true: "supplementary angles are two angles whose sum measures to 180" and "two angles whose sum measures to 180 are supplementary."
First, let's check if "supplementary angles are two angles whose sum measures to 180" is true. Yes, this statement is true. Supplementary angles are a pair of angles that, when added together, result in a sum of 180 degrees.
Now, let's check if "two angles whose sum measures to 180 are supplementary" is also true. This statement is true as well. If you have two angles whose sum measures to 180 degrees, then they are indeed supplementary angles.
Since both statements are true, the given definition of supplementary can be written as a true biconditional:
Supplementary angles are two angles whose sum measures to 180 if and only if two angles whose sum measures to 180 are supplementary.
Therefore, the definition is reversible and can be written as a true biconditional statement.