Adjacent angles add up to 180 degrees
The statement “Adjacent angles add up to 180 degrees” is actually not accurate
The statement “Adjacent angles add up to 180 degrees” is actually not accurate. Adjacent angles are two angles that share a common vertex and a common side, but they do not necessarily add up to 180 degrees.
When two adjacent angles are formed by a straight line intersecting another straight line, they are called a linear pair. A linear pair of angles will always add up to 180 degrees. This is due to the fact that a straight line is a 180-degree angle, and when it intersects with another line, it forms two angles that combine to fill the entire 180 degrees.
For example, consider a straight line AB, and a line CD intersecting it at point B. The angles formed, let’s say angle ABC and angle CBD, are adjacent angles. The sum of these two angles will always be 180 degrees.
However, it is important to note that not all adjacent angles are part of a linear pair. There can be cases where two adjacent angles are not formed by a straight line intersecting another line. In such situations, the angles can have any measure as long as they are adjacent.
Therefore, it is not correct to make a general statement that “adjacent angles add up to 180 degrees.” It is only applicable to linear pairs, which are a specific case of adjacent angles formed by a straight line intersecting another line.
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