Complementary Angles Worksheets to Print

Are you in search of worksheets that will help your students practice finding complementary angles? Look no further! We have a collection of printable worksheets specifically designed to teach and reinforce this concept. With a clear focus on the entity of complementary angles and a user-friendly format, these worksheets are perfect for educators seeking valuable resources for their math curriculum.

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What are complementary angles?

Complementary angles are two angles whose measures add up to 90 degrees. When two angles are complementary, they form a right angle together. In other words, if you add the measures of two complementary angles, the total sum will always be 90 degrees.

How do you determine if two angles are complementary?

Two angles are complementary if the sum of their measures equals 90 degrees. To determine if two angles are complementary, you simply need to add the measures of the two angles together - if the sum is 90 degrees, then the angles are complementary.

What is the sum of the measures of complementary angles?

The sum of the measures of complementary angles is always equal to 90 degrees.

Can two acute angles be complementary?

No, two acute angles (angles less than 90 degrees) cannot be complementary because in order for two angles to be complementary, their measures must add up to 90 degrees. Since acute angles are always less than 90 degrees, it is not possible for two acute angles to have a sum of 90 degrees.

Can two obtuse angles be complementary?

No, two angles that are both obtuse (greater than 90 degrees) cannot be complementary, as complementary angles are two angles that sum up to 90 degrees. Therefore, two obtuse angles would have a sum greater than 90 degrees, making them supplementary rather than complementary.

Can a right angle be complementary to another angle?

No, a right angle, which measures 90 degrees, cannot be complementary to another angle because complementary angles add up to 90 degrees in total. Since a right angle itself is already 90 degrees, there is no other angle that can add up to 90 degrees with it to be considered complementary.

Can two straight angles be complementary?

No, two straight angles cannot be complementary as they are already equal to 180 degrees, so there is no way for them to add up to 90 degrees, which is the definition of complementary angles.

If one angle is 45 degrees, what is the measure of its complementary angle?

The complementary angle of a 45-degree angle is 45 degrees as well. Complementary angles add up to 90 degrees, so when one angle is 45 degrees, its complementary angle will also be 45 degrees to make the total 90 degrees.

How do you find the complementary angle of an angle with a given measure?

To find the complementary angle of an angle with a given measure, subtract the given angle's measure from 90 degrees. The result will be the measure of the complementary angle. In other words, the complementary angle of an angle with measure x is 90 - x degrees.

Provide an example of two complementary angles.

An example of two complementary angles would be one angle measuring 30 degrees and its complementary angle measuring 60 degrees. When the two angles are added together, they equal 90 degrees, which is the definition of complementary angles.