Thus,the valueof is 56º.Example 2
The two anglesbeloware complementary. Whatis the measureof eachangle?This problemis a bit morecomplicatedthan the first example.However, the conceptsare the same.If you
add the two anglestogether, the sum will be 90º. So, you can set up an algebraicequationwith the values
presented.
The best way to solvethis problemis to solvethe equationabovefor. Then,you mustsubstitutethe
valuefor backinto the originalexpressionsto find the valueof eachangle.
The valueof is 5. Now substitutethis valuebackinto the expressionsto find the measuresof the two
anglesin the diagram.
and. You can checkto makesure thesenumbersare accurateby
verifyingif they are complementary.
Sincethesetwo anglemeasuressum to 90º, they are complementary.SupplementaryAngles
Two anglesaresupplementaryif their measuressum to 180º.