Supplementary angles, pronounced /sʌplɪˈmɛnt əri/ are two angles whose sum equals 180 degrees. The word begins with the prefix "supple," spelled with a single p, meaning "extra or additional." The root word "ment" is derived from the Latin word mentum, meaning "result or condition," while the suffix "-ary" means "relating to or being a characteristic of." Together, these elements form "supplementary angles," spelling out the definition and nature of this mathematical term.
Supplementary angles are a pair of angles that, when added together, result in a sum of 180 degrees. In other words, supplementary angles are two angles that combine to form a straight line. They are also known as linear pairs.
Supplementary angles can be formed when two lines intersect each other, creating four angles. If two of these angles are adjacent and their measures add up to 180 degrees, then they are supplementary. They form a straight line, with one angle appearing on one side of the line and the other angle on the opposite side.
Supplementary angles do not have to be adjacent; they can be located anywhere along the lines, as long as their measures add up to 180 degrees. For example, if one angle measures 100 degrees, then the other angle must measure 80 degrees to form a supplementary pair.
Supplementary angles are widely used in mathematics and geometry, particularly when studying lines, planes, and angles. They play a crucial role in solving geometric problems and calculations. Understanding supplementary angles helps in determining unknown angles, identifying parallel lines, and establishing relationships between angles and lines in various geometric figures.
In everyday life, supplementary angles can be found in various objects and concepts, such as road crossings, open books, or open scissors. Observing and analyzing the angles present in these objects can help one identify and understand the concept of supplementary angles.
The word "supplementary" comes from the Latin word "supplementum", which means "something added", "something that fills up or completes", or "an additional supply".
The term "supplementary angles" in mathematics refers to a pair of angles that, when added together, equal 180 degrees, thus "completing" or "filling up" a straight angle. The word "angle" itself comes from the Latin word "angulus", meaning "corner" or "bend". So, "supplementary angles" refers to a pair of angles that complete a straight angle when added together.