is the following statement definition of complementary reversible if yes write it as a true biconditional complementary angels are two angels whose sum measures to 90 degrees
Yes, the statement "Complementary angles are two angles whose sum measures to 90 degrees" can be written as a true biconditional:
"Angles are complementary if and only if their sum measures to 90 degrees."
No, the given statement is not a definition of complementary angles.
Complementary angles are two angles whose sum measures to 90 degrees, so the correct definition would be:
"Complementary angles are two angles that, when added together, result in a sum of 90 degrees."
This definition can be written as a true biconditional:
"Two angles are complementary if and only if their sum measures 90 degrees."
To determine if the given statement is a definition of complementary angles, we first need to understand the concept of complementary angles. Complementary angles are two angles that add up to 90 degrees.
Now, let's break down the given statement: "Complementary angles are two angles whose sum measures to 90 degrees."
This statement accurately describes the definition of complementary angles, as it states that the sum of two angles should measure 90 degrees.
To write it as a true biconditional statement, we can rephrase it as follows:
"Two angles are complementary if and only if their sum measures 90 degrees."
In symbols, we would express it as:
A pair of angles is complementary ↔ their sum measures 90 degrees.
Thus, the given statement can indeed be written as a true biconditional.