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An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?
![\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}](https://tex.z-dn.net/?f=%5Cblue%7B%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7B%5Cunderline%7BAnswer%3A-%7D%7D%7D%7D)
Angle Measurements:- 63º and 117º
![\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}](https://tex.z-dn.net/?f=%5Cblue%7B%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7B%5Cunderline%7BHow%5C%3Ato%5C%3ASolve%3A-%7D%7D%7D%7D)
Supplementary angles add up to 180º.
Now, let the unknown angle be n.
Set up an equation:-
(remember, supplementary angles add up to 180)
Add the n's :
![\textsf{2n+54=180}](https://tex.z-dn.net/?f=%5Ctextsf%7B2n%2B54%3D180%7D)
Subtract 54 on both sides:
![\textsf{2n=126}](https://tex.z-dn.net/?f=%5Ctextsf%7B2n%3D126%7D)
Divide by 2 on both sides:
![\textsf{n=63\textdegree}](https://tex.z-dn.net/?f=%5Ctextsf%7Bn%3D63%5Ctextdegree%7D)
Now, add 54 to find the other angle:
63+54=117
<em>Check:-</em>
We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.
![\textsf{63+117=180}](https://tex.z-dn.net/?f=%5Ctextsf%7B63%2B117%3D180%7D)
![\textsf{180=180}\LARGE\checkmark](https://tex.z-dn.net/?f=%5Ctextsf%7B180%3D180%7D%5CLARGE%5Ccheckmark)
LHS=RHS (Left-Hand Side = Right-Hand Side)
Hence, the angles are 63 and 117. ![\checkmark](https://tex.z-dn.net/?f=%5Ccheckmark)
<h3>Good luck.</h3>
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