Complementary angles
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); markscalefactor=0.1; draw(rightanglemark((0,10),(0,0),(10,0))); label("$A$", A, SW); label("$B$", B, SE); label("$C$", C, NE); label("$D$", D, NE); [/asy]](http://latex.artofproblemsolving.com/a/7/5/a75509ef276eae8b460d9b8cba0d1f1ad6b1b2ba.png)
As long as is a right angle,
and
are complementary angles to each other.
Definitions
Bing/Google
Either of two angles whose sum is
Merriam-Webster
Two angles that add up to 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
.
Related Topics
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