supplementary angles
Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if two angles are supplementary, then the sum of their measures is 180 degrees. For example, if one angle measures 60 degrees, the other angle must measure 120 degrees for them to be supplementary. Supplementary angles are commonly seen in geometry and can be used to solve problems involving angles, such as finding missing angles in geometric figures.
angle BED and angle DEA, angle AEC, and BEC are supplementary
If angle BED and angle DEA are supplementary, it means that the sum of their measures is 180 degrees.
Similarly, if angle AEC and BEC are supplementary, their measures also add up to 180 degrees.
This information implies that:
1. Angle BED + Angle DEA = 180 degrees
2. Angle AEC + Angle BEC = 180 degrees
Supplementary angles often occur when there is a straight line or a linear pair of angles. In this case, angle BED and angle DEA might form a straight line, and angle AEC and angle BEC might form another straight line or a linear pair.
Supplementary angles are pairs of angles that add up to 180 degrees. When two angles are supplementary, it means that the sum of their measures is always equal to 180 degrees. In other words, if you have an angle x and its supplementary angle y, then x + y = 180 degrees.
Here are some key points to know about supplementary angles:
1. Definition: Supplementary angles are two angles whose measures add up to 180 degrees.
2. Sum of angle measures: If you have two angles, say angle A and angle B, and they are supplementary, then the sum of their measures is always equal to 180 degrees: A + B = 180 degrees.
3. Examples: Some examples of supplementary angles are 60 degrees and 120 degrees, or 45 degrees and 135 degrees, or even 90 degrees and 90 degrees.
4. Linear Pairs: Supplementary angles can be formed when two adjacent angles lie on a straight line, forming a linear pair. In a linear pair, the sum of the measures of the two angles is always 180 degrees.
5. Vertical Angles: Vertical angles, which are formed by the intersection of two lines, are also supplementary. If you have two pairs of vertical angles, the sum of the measures of each pair is equal to 180 degrees.
Remember, supplementary angles always have a sum of 180 degrees, and they can be formed in various ways, such as linear pairs or vertical angles.