Complementary angles

Revision as of 22:36, 3 January 2020 by Shurong.ge (talk | contribs) (Merriam-Webster)

Diagram

[asy] import olympiad; size(150); pair D = (0, 10), C = (10, 5), B = (10, 0), A = (0, 0); draw(A--B); draw(C--A); draw(D--A); label("$A$", A, SW); label("$B$", B, SE); label("$C$", C, W); label("$D$", D, NE); [/asy]

As long as $\angle BAD$ is a right angle, $\angle BAC$ and $\angle CAD$ are complementary angles to each other.

Definition

Bing/Google

Either of two angles whose sum is 90°

Merriam-Webster

Two angles that add up to $90$ $degrees$

Properties and Examples

Property

$\angle A$ is complementary to $\angle B$ if and only if $\angle A + \angle B = 90$ $degrees$

Examples

If $\angle A$ is $29$ $degrees$ and $\angle B$ is $61$ $degrees$, angle A and angle B are complementary since $29 + 61 = 90$

If $\angle A$ is $30$ $degrees$ and $\angle B$ is $62$ $degrees$, angle A and angle B are not complementary since $30 + 62 = 92$, and not $90$ degrees.

Related Topics

Supplementary

Angle

Page Authors

Shurong.ge


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