Worksheets Complementary and Supplementary Angles
In mathematics, worksheets are an effective tool for learning and practicing different concepts. When it comes to complementary and supplementary angles, these worksheets are a great resource for students looking to strengthen their understanding of these mathematical entities and their relationships.
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What are complementary angles?
Complementary angles are two angles whose measures sum up to 90 degrees. In other words, when you add the measures of two complementary angles together, the total equals 90 degrees.
How do you find the measure of complementary angles?
To find the measure of complementary angles, you need to add the measures of the two angles together. Since complementary angles add up to 90 degrees, if you know the measure of one angle, you can subtract it from 90 to find the measure of its complement.
What is the sum of the measures of complementary angles?
The sum of the measures of complementary angles is 90 degrees.
Can complementary angles be adjacent?
Complementary angles cannot be adjacent because if two angles are complementary, their measures add up to 90 degrees and they must share a common vertex but not a common side, which means they cannot be adjacent. Adjacent angles are two angles that share a common vertex and a common side.
Can complementary angles be obtuse?
No, complementary angles cannot be obtuse because by definition, complementary angles add up to 90 degrees. Therefore, at least one of the angles must be acute in order for their sum to be 90 degrees.
What are supplementary angles?
Supplementary angles are a pair of angles that add up to 180 degrees when placed adjacent to each other. In other words, when you combine two supplementary angles, they form a straight line.
How do you find the measure of supplementary angles?
To find the measure of supplementary angles, you simply add the angle measurements together. Supplementary angles are two angles whose measurements add up to 180 degrees. By adding the measures of the given angles, you can determine the total measure of supplementary angles.
What is the sum of the measures of supplementary angles?
The sum of the measures of supplementary angles is always 180 degrees. This means that when two angles are supplementary, the total measure of both angles combined is 180 degrees.
Can supplementary angles be adjacent?
Yes, supplementary angles can be adjacent. Supplementary angles are two angles that add up to 180 degrees, and adjacent angles are angles that share a common side and vertex. So, it is possible for two adjacent angles to be supplementary if their measures add up to 180 degrees.
Can supplementary angles be acute?
No, supplementary angles by definition add up to 180 degrees. Acute angles are angles that measure less than 90 degrees. Therefore, supplementary angles cannot be acute as their combined measure is always 180 degrees or more.
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