Supplementary angles definition
Supplementary angles are a pair of angles that, when added together, result in a sum of 180 degrees
Supplementary angles are a pair of angles that, when added together, result in a sum of 180 degrees. In other words, the two angles are adjacent to each other and form a straight line.
To better understand the concept, let’s consider two angles – angle A and angle B. If angle A measures x degrees, and angle B measures y degrees, we can say that angle A and angle B are supplementary if their sum is equal to 180 degrees.
Mathematically, this can be written as:
x + y = 180
For example, let’s say angle A measures 70 degrees. To find the supplementary angle to angle A, we would subtract 70 from 180:
180 – 70 = 110 degrees.
So, angle B would measure 110 degrees in order to be supplementary to angle A.
Supplementary angles can be seen in many real-life contexts. For instance, if you have a straight line that is divided into two equal parts, the angles on each side of the line would be supplementary. Another example would be a clock: if the hour hand is pointing at 3 o’clock, the minute hand will be pointing at 9 o’clock, and these two angles would be supplementary.
It’s important to note that supplementary angles do not have to be adjacent to each other. They only need to add up to 180 degrees. So, two angles that are in different parts of a geometric shape or even in completely separate shapes can still be considered supplementary if their sum is 180 degrees.
Remember, whenever you’re dealing with supplementary angles, always make sure their sum equals 180 degrees.
More Answers:
Exploring the Concept of Parallel Lines in Mathematics: Definition, Properties, and ApplicationsUnderstanding the Properties and Characteristics of Skew Lines in Geometry
A Guide to Understanding Adjacent Sides and Angles in Geometry