Supplementary Angle Theorem: Explained With Examples
BY Team Aakash Byjus
In mathematics, the term supplementary refers to angles that combine to form a straight angle.
When two angles add up to 180 degrees, they are supplementary angles.
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Theorem:
If two angles are supplementary to the same angle, they are congruent(identical in form) to each other.
Two angles are supplementary, if
– One of its angles is an obtuse angle, and another angle is acute.
– Both the angles are right angles.
The Important Properties of Supplementary Angles
Supplementary angles are formed when two angles add up to 180°; however, the angles do not have to be adjacent to form a straight line.
In supplementary angles, the "Straight" line is represented by the letter "S." This means they're forming at a 180-degree angle.
There are two types of supplementary angles:
1. Adjacent supplementary angles
2. Non Adjacent supplementary angles
Non Adjacent
supplementary angles
Example:
If ∠p and ∠q are supplementary angles and ∠p = 67, find ∠q?.
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