Difference between revisions of "Complementary angles"
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Two angles that add up to 90 degrees | Two angles that add up to 90 degrees | ||
− | == | + | ==Properties and Examples== |
− | + | ===Property=== | |
+ | <math>\angle A</math> is complementary to <math>\angle B</math> if and only if <math>\angle A + \angle B = 180</math> <math>degrees</math> | ||
+ | |||
+ | ===Examples=== | ||
+ | If <math>\angle A</math> is <math>29</math> <math>degrees</math> and <math>\angle B</math> is <math>61</math> <math>degrees</math>, angle A and angle B are complementary since <math>29 + 61 = 90</math> | ||
+ | |||
+ | If <math>\angle A</math> is <math>30</math> <math>degrees</math> and <math>\angle B</math> is <math>62</math> <math>degrees</math>, angle A and angle B are not complementary since <math>30 + 62 = 92</math>, and not <math>90</math> degrees. | ||
==Related Topics== | ==Related Topics== |
Revision as of 21:06, 3 January 2020
Contents
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]](http://latex.artofproblemsolving.com/1/b/d/1bd23ed11664b0cee697fc4b5c38c234b7f6d6a1.png)
As long as is a right angle,
and
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
is complementary to
if and only if
Examples
If is
and
is
, angle A and angle B are complementary since
If is
and
is
, angle A and angle B are not complementary since
, and not
degrees.