Complementary Angles In Geometry: Definition, Examples, And Applications

Complementary angles

Two angles whose sum is 90 degrees

Complementary angles are two angles that add up to 90 degrees. In other words, if we have two angles A and B, where A + B = 90 degrees, then A and B are complementary angles.

For example, if one angle is 40 degrees, then the other angle that would make it complementary would be 50 degrees, because 40 + 50 = 90 degrees.

Complementary angles can be identified in geometric figures like triangles, quadrilaterals, and circles. In a right triangle, where one angle is already 90 degrees, the other two angles must be complementary to each other.

Knowing that two angles are complementary can be useful in solving geometric problems that involve finding an unknown angle. For example, if one angle in a triangle is known to be a complementary angle to a given angle, then the third angle can be found by subtracting the given angle from 90 degrees.

More Answers:
Exploring The Angle Bisector Theorem: A Guide To Proportional Segments And Geometric Problem Solving In Triangles.
Congruent Shapes In Geometry: Definition And Properties
The Concept Of Vertical Angles In Math: Properties And Proof Of Congruence

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