The sum of the adjacent angles is 180
The sum of the adjacent angles is 180
To determine if the statement that "the sum of the adjacent angles is 180" is true, follow these steps:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In geometry, when these angles form a straight line, they are known as a linear pair.
The Linear Pair Theorem states that if two angles are adjacent and form a linear pair (i.e., the non-common sides form a straight line), then these angles are supplementary. This means that their sum is .
Therefore, when adjacent angles form a linear pair on a straight line, their sum is indeed .
This validates the statement that "the sum of the adjacent angles is 180" for linear pairs, making the statement True.
This corresponds to the answer choice stating: True.
True