Complementary Angles
Complementary angles
are two angles whose measures add up to
%22%3E%3Cg%20data-mml-node%3D%22math%22%3E%3Cg%20data-mml-node%3D%22mn%22%3E%3Cpath%20data-c%3D%2239%22%20d%3D%22M352%20287Q304%20211%20232%20211Q154%20211%20104%20270T44%20396Q42%20412%2042%20436V444Q42%20537%20111%20606Q171%20666%20243%20666Q245%20666%20249%20666T257%20665H261Q273%20665%20286%20663T323%20651T370%20619T413%20560Q456%20472%20456%20334Q456%20194%20396%2097Q361%2041%20312%2010T208%20-22Q147%20-22%20108%207T68%2093T121%20149Q143%20149%20158%20135T173%2096Q173%2078%20164%2065T148%2049T135%2044L131%2043Q131%2041%20138%2037T164%2027T206%2022H212Q272%2022%20313%2086Q352%20142%20352%20280V287ZM244%20248Q292%20248%20321%20297T351%20430Q351%20508%20343%20542Q341%20552%20337%20562T323%20588T293%20615T246%20625Q208%20625%20181%20598Q160%20576%20154%20546T147%20441Q147%20358%20152%20329T172%20282Q197%20248%20244%20248Z%22%3E%3C%2Fpath%3E%3Cpath%20data-c%3D%2230%22%20d%3D%22M96%20585Q152%20666%20249%20666Q297%20666%20345%20640T423%20548Q460%20465%20460%20320Q460%20165%20417%2083Q397%2041%20362%2016T301%20-15T250%20-22Q224%20-22%20198%20-16T137%2016T82%2083Q39%20165%2039%20320Q39%20494%2096%20585ZM321%20597Q291%20629%20250%20629Q208%20629%20178%20597Q153%20571%20145%20525T137%20333Q137%20175%20145%20125T181%2046Q209%2016%20250%2016Q290%2016%20318%2046Q347%2076%20354%20130T362%20333Q362%20478%20354%20524T321%20597Z%22%20transform%3D%22translate(500%2C0)%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(1000%2C0)%22%3E%3Cpath%20data-c%3D%22B0%22%20d%3D%22M147%20628Q147%20669%20179%20692T244%20715Q298%20715%20325%20689T352%20629Q352%20592%20323%20567T249%20542Q202%20542%20175%20567T147%20628ZM313%20628Q313%20660%20300%20669T259%20678H253Q248%20678%20242%20678T234%20679Q217%20679%20207%20674T192%20659T188%20644T187%20629Q187%20600%20198%20590Q210%20579%20250%20579H265Q279%20579%20288%20581T305%20595T313%20628Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3C%2Fg%3E%3C%2Fg%3E%3E%3C%2Fsvg%3E)
.
In the figure below,
%22%3E%3Cg%20data-mml-node%3D%22math%22%3E%3Cg%20data-mml-node%3D%22mo%22%3E%3Cpath%20data-c%3D%222220%22%20d%3D%22M71%200L68%202Q65%203%2063%205T58%2011T55%2020Q55%2022%2057%2028Q67%2043%20346%20361Q397%20420%20474%20508Q595%20648%20616%20671T647%20694T661%20688T666%20674Q666%20668%20663%20663Q662%20662%20627%20622T524%20503T390%20350L120%2041L386%2040H653Q666%2030%20666%2020Q666%208%20651%200H71Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mn%22%20transform%3D%22translate(722%2C0)%22%3E%3Cpath%20data-c%3D%2231%22%20d%3D%22M213%20578L200%20573Q186%20568%20160%20563T102%20556H83V602H102Q149%20604%20189%20617T245%20641T273%20663Q275%20666%20285%20666Q294%20666%20302%20660V361L303%2061Q310%2054%20315%2052T339%2048T401%2046H427V0H416Q395%203%20257%203Q121%203%20100%200H88V46H114Q136%2046%20152%2046T177%2047T193%2050T201%2052T207%2057T213%2061V578Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3C%2Fg%3E%3C%2Fg%3E%3E%3C%2Fsvg%3E)
and
%22%3E%3Cg%20data-mml-node%3D%22math%22%3E%3Cg%20data-mml-node%3D%22mo%22%3E%3Cpath%20data-c%3D%222220%22%20d%3D%22M71%200L68%202Q65%203%2063%205T58%2011T55%2020Q55%2022%2057%2028Q67%2043%20346%20361Q397%20420%20474%20508Q595%20648%20616%20671T647%20694T661%20688T666%20674Q666%20668%20663%20663Q662%20662%20627%20622T524%20503T390%20350L120%2041L386%2040H653Q666%2030%20666%2020Q666%208%20651%200H71Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mn%22%20transform%3D%22translate(722%2C0)%22%3E%3Cpath%20data-c%3D%2232%22%20d%3D%22M109%20429Q82%20429%2066%20447T50%20491Q50%20562%20103%20614T235%20666Q326%20666%20387%20610T449%20465Q449%20422%20429%20383T381%20315T301%20241Q265%20210%20201%20149L142%2093L218%2092Q375%2092%20385%2097Q392%2099%20409%20186V189H449V186Q448%20183%20436%2095T421%203V0H50V19V31Q50%2038%2056%2046T86%2081Q115%20113%20136%20137Q145%20147%20170%20174T204%20211T233%20244T261%20278T284%20308T305%20340T320%20369T333%20401T340%20431T343%20464Q343%20527%20309%20573T212%20619Q179%20619%20154%20602T119%20569T109%20550Q109%20549%20114%20549Q132%20549%20151%20535T170%20489Q170%20464%20154%20447T109%20429Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3C%2Fg%3E%3C%2Fg%3E%3E%3C%2Fsvg%3E)
are complementary.
Two angles need not be adjacent to be complementary. The angles in the next figure are also complementary, since
%22%3E%3Cg%20data-mml-node%3D%22math%22%3E%3Cg%20data-mml-node%3D%22mn%22%3E%3Cpath%20data-c%3D%2233%22%20d%3D%22M127%20463Q100%20463%2085%20480T69%20524Q69%20579%20117%20622T233%20665Q268%20665%20277%20664Q351%20652%20390%20611T430%20522Q430%20470%20396%20421T302%20350L299%20348Q299%20347%20308%20345T337%20336T375%20315Q457%20262%20457%20175Q457%2096%20395%2037T238%20-22Q158%20-22%20100%2021T42%20130Q42%20158%2060%20175T105%20193Q133%20193%20151%20175T169%20130Q169%20119%20166%20110T159%2094T148%2082T136%2074T126%2070T118%2067L114%2066Q165%2021%20238%2021Q293%2021%20321%2074Q338%20107%20338%20175V195Q338%20290%20274%20322Q259%20328%20213%20329L171%20330L168%20332Q166%20335%20166%20348Q166%20366%20174%20366Q202%20366%20232%20371Q266%20376%20294%20413T322%20525V533Q322%20590%20287%20612Q265%20626%20240%20626Q208%20626%20181%20615T143%20592T132%20580H135Q138%20579%20143%20578T153%20573T165%20566T175%20555T183%20540T186%20520Q186%20498%20172%20481T127%20463Z%22%3E%3C%2Fpath%3E%3Cpath%20data-c%3D%2235%22%20d%3D%22M164%20157Q164%20133%20148%20117T109%20101H102Q148%2022%20224%2022Q294%2022%20326%2082Q345%20115%20345%20210Q345%20313%20318%20349Q292%20382%20260%20382H254Q176%20382%20136%20314Q132%20307%20129%20306T114%20304Q97%20304%2095%20310Q93%20314%2093%20485V614Q93%20664%2098%20664Q100%20666%20102%20666Q103%20666%20123%20658T178%20642T253%20634Q324%20634%20389%20662Q397%20666%20402%20666Q410%20666%20410%20648V635Q328%20538%20205%20538Q174%20538%20149%20544L139%20546V374Q158%20388%20169%20396T205%20412T256%20420Q337%20420%20393%20355T449%20201Q449%20109%20385%2044T229%20-22Q148%20-22%2099%2032T50%20154Q50%20178%2061%20192T84%20210T107%20214Q132%20214%20148%20197T164%20157Z%22%20transform%3D%22translate(500%2C0)%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(1000%2C0)%22%3E%3Cpath%20data-c%3D%22B0%22%20d%3D%22M147%20628Q147%20669%20179%20692T244%20715Q298%20715%20325%20689T352%20629Q352%20592%20323%20567T249%20542Q202%20542%20175%20567T147%20628ZM313%20628Q313%20660%20300%20669T259%20678H253Q248%20678%20242%20678T234%20679Q217%20679%20207%20674T192%20659T188%20644T187%20629Q187%20600%20198%20590Q210%20579%20250%20579H265Q279%20579%20288%20581T305%20595T313%20628Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(1500%2C0)%22%3E%3Cpath%20data-c%3D%222B%22%20d%3D%22M56%20237T56%20250T70%20270H369V420L370%20570Q380%20583%20389%20583Q402%20583%20409%20568V270H707Q722%20262%20722%20250T707%20230H409V-68Q401%20-82%20391%20-82H389H387Q375%20-82%20369%20-68V230H70Q56%20237%2056%20250Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mn%22%20transform%3D%22translate(2278%2C0)%22%3E%3Cpath%20data-c%3D%2235%22%20d%3D%22M164%20157Q164%20133%20148%20117T109%20101H102Q148%2022%20224%2022Q294%2022%20326%2082Q345%20115%20345%20210Q345%20313%20318%20349Q292%20382%20260%20382H254Q176%20382%20136%20314Q132%20307%20129%20306T114%20304Q97%20304%2095%20310Q93%20314%2093%20485V614Q93%20664%2098%20664Q100%20666%20102%20666Q103%20666%20123%20658T178%20642T253%20634Q324%20634%20389%20662Q397%20666%20402%20666Q410%20666%20410%20648V635Q328%20538%20205%20538Q174%20538%20149%20544L139%20546V374Q158%20388%20169%20396T205%20412T256%20420Q337%20420%20393%20355T449%20201Q449%20109%20385%2044T229%20-22Q148%20-22%2099%2032T50%20154Q50%20178%2061%20192T84%20210T107%20214Q132%20214%20148%20197T164%20157Z%22%3E%3C%2Fpath%3E%3Cpath%20data-c%3D%2235%22%20d%3D%22M164%20157Q164%20133%20148%20117T109%20101H102Q148%2022%20224%2022Q294%2022%20326%2082Q345%20115%20345%20210Q345%20313%20318%20349Q292%20382%20260%20382H254Q176%20382%20136%20314Q132%20307%20129%20306T114%20304Q97%20304%2095%20310Q93%20314%2093%20485V614Q93%20664%2098%20664Q100%20666%20102%20666Q103%20666%20123%20658T178%20642T253%20634Q324%20634%20389%20662Q397%20666%20402%20666Q410%20666%20410%20648V635Q328%20538%20205%20538Q174%20538%20149%20544L139%20546V374Q158%20388%20169%20396T205%20412T256%20420Q337%20420%20393%20355T449%20201Q449%20109%20385%2044T229%20-22Q148%20-22%2099%2032T50%20154Q50%20178%2061%20192T84%20210T107%20214Q132%20214%20148%20197T164%20157Z%22%20transform%3D%22translate(500%2C0)%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(3278%2C0)%22%3E%3Cpath%20data-c%3D%22B0%22%20d%3D%22M147%20628Q147%20669%20179%20692T244%20715Q298%20715%20325%20689T352%20629Q352%20592%20323%20567T249%20542Q202%20542%20175%20567T147%20628ZM313%20628Q313%20660%20300%20669T259%20678H253Q248%20678%20242%20678T234%20679Q217%20679%20207%20674T192%20659T188%20644T187%20629Q187%20600%20198%20590Q210%20579%20250%20579H265Q279%20579%20288%20581T305%20595T313%20628Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(3778%2C0)%22%3E%3Cpath%20data-c%3D%223D%22%20d%3D%22M56%20347Q56%20360%2070%20367H707Q722%20359%20722%20347Q722%20336%20708%20328L390%20327H72Q56%20332%2056%20347ZM56%20153Q56%20168%2072%20173H708Q722%20163%20722%20153Q722%20140%20707%20133H70Q56%20140%2056%20153Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mn%22%20transform%3D%22translate(4833.8%2C0)%22%3E%3Cpath%20data-c%3D%2239%22%20d%3D%22M352%20287Q304%20211%20232%20211Q154%20211%20104%20270T44%20396Q42%20412%2042%20436V444Q42%20537%20111%20606Q171%20666%20243%20666Q245%20666%20249%20666T257%20665H261Q273%20665%20286%20663T323%20651T370%20619T413%20560Q456%20472%20456%20334Q456%20194%20396%2097Q361%2041%20312%2010T208%20-22Q147%20-22%20108%207T68%2093T121%20149Q143%20149%20158%20135T173%2096Q173%2078%20164%2065T148%2049T135%2044L131%2043Q131%2041%20138%2037T164%2027T206%2022H212Q272%2022%20313%2086Q352%20142%20352%20280V287ZM244%20248Q292%20248%20321%20297T351%20430Q351%20508%20343%20542Q341%20552%20337%20562T323%20588T293%20615T246%20625Q208%20625%20181%20598Q160%20576%20154%20546T147%20441Q147%20358%20152%20329T172%20282Q197%20248%20244%20248Z%22%3E%3C%2Fpath%3E%3Cpath%20data-c%3D%2230%22%20d%3D%22M96%20585Q152%20666%20249%20666Q297%20666%20345%20640T423%20548Q460%20465%20460%20320Q460%20165%20417%2083Q397%2041%20362%2016T301%20-15T250%20-22Q224%20-22%20198%20-16T137%2016T82%2083Q39%20165%2039%20320Q39%20494%2096%20585ZM321%20597Q291%20629%20250%20629Q208%20629%20178%20597Q153%20571%20145%20525T137%20333Q137%20175%20145%20125T181%2046Q209%2016%20250%2016Q290%2016%20318%2046Q347%2076%20354%20130T362%20333Q362%20478%20354%20524T321%20597Z%22%20transform%3D%22translate(500%2C0)%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3Cg%20data-mml-node%3D%22mo%22%20transform%3D%22translate(5833.8%2C0)%22%3E%3Cpath%20data-c%3D%22B0%22%20d%3D%22M147%20628Q147%20669%20179%20692T244%20715Q298%20715%20325%20689T352%20629Q352%20592%20323%20567T249%20542Q202%20542%20175%20567T147%20628ZM313%20628Q313%20660%20300%20669T259%20678H253Q248%20678%20242%20678T234%20679Q217%20679%20207%20674T192%20659T188%20644T187%20629Q187%20600%20198%20590Q210%20579%20250%20579H265Q279%20579%20288%20581T305%20595T313%20628Z%22%3E%3C%2Fpath%3E%3C%2Fg%3E%3C%2Fg%3E%3C%2Fg%3E%3E%3C%2Fsvg%3E)
.
See also supplementary angles .
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