What is the relationship between complementary angles and supplementary angles?
The relationship between complementary angles and supplementary angles involves their sums in relation to a right angle.
Complementary angles are two angles that add up to 90 degrees, which is the measure of a right angle. To determine complementary angles, you need to find two angles whose sum equals 90 degrees.
Supplementary angles, on the other hand, are two angles that add up to 180 degrees, which is the measure of a straight line. To find supplementary angles, you need to identify two angles whose sum equals 180 degrees.
The key difference between these two relationships is that complementary angles form a right angle when added together, while supplementary angles form a straight line.
To sum up:
- Complementary angles add up to 90 degrees (right angle).
- Supplementary angles add up to 180 degrees (straight line).
- Complementary angles form a right angle when added together.
- Supplementary angles form a straight line when added together.
Complementary angles and supplementary angles are both types of angle pairs formed by two angles. However, they have different properties and relationships.
1. Complementary angles: Complementary angles are a pair of angles that add up to 90 degrees. In other words, the sum of the measures of two complementary angles is always 90 degrees.
For example: if one angle measures 30 degrees, then its complementary angle would measure 60 degrees (30 + 60 = 90).
2. Supplementary angles: Supplementary angles are a pair of angles that add up to 180 degrees. In other words, the sum of the measures of two supplementary angles is always 180 degrees.
For example: if one angle measures 120 degrees, then its supplementary angle would measure 60 degrees (120 + 60 = 180).
So, to summarize:
- Complementary angles add up to 90 degrees.
- Supplementary angles add up to 180 degrees.
These concepts are important in geometry and can be used to solve various angle-related problems and equations.