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Complementary Angles
Two angles are complementary if the sum of their measures equals . When two angles are complementary, each angle is called the complement of the other. For example, angles measuring and are complementary because . This property provides a useful relationship: if and represent the measures of two complementary angles, then:
This equation can be used alongside a second relationship between the angles to form a system of equations for solving angle problems.
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Learn After
A drafting technician is designing a bracket where two adjacent angles must be complementary to ensure a perfect right-angle fit. According to the definition of complementary angles, what must be the sum of their measures?
An HVAC technician is installing a ductwork transition where two angles must be complementary to fit into a standard 90-degree corner. According to geometric principles, the sum of these two complementary angles must be ____ degrees.
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