[ Answer: ]
Give the complement and supplement of angels with the given measures.
[tex]\begin{gathered} \begin{array}{|c|c|c|} \hline \sf Angle & \sf Complement & \sf Supplement \\ \hline \tt 1.) \: \: 12 \degree \: & \tt 78 \degree & \tt 168 \degree \\ \hline \tt 2.) \: \: \: 89 \degree & \tt 1 \degree & \tt 91 \degree \\ \hline \tt 3.) \: 175 \degree & \tt - 85 \degree & \tt5 \degree \\ \hline \tt 4.) \: \: \: 35 \degree & \tt55 \degree & \tt 145 \degree \\ \hline \tt 5.) \: \: \: 60\degree & \tt 30 \degree & \tt 120 \degree \\ \hline \end{array}\end{gathered} [/tex]
[ Solution: ]
Complement
[tex] \tt{1.) \: 12 \degree + x = 90 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: x = 90 \degree - 12 \degree} \\ \boxed{\tt{x = 78 \degree}} [/tex]
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[tex] \tt{2.) \: 89 \degree + x = 90 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: x = 90 \degree - 89 \degree} \\ \boxed{\tt{x = 1 \degree}} \: \: [/tex]
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[tex] \tt{3.) \: 175 \degree + x = 90 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 90 \degree -175\degree} \\ \: \: \: \: \: \: \boxed{\tt{x = - 85 \degree}}[/tex]
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[tex] \tt{4.) \: 35 \degree + x = 90 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: x = 90 \degree -35\degree} \\ \boxed{\tt{x = 55 \degree}} \: [/tex]
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[tex] \tt{5.) \: 60 \degree + x = 90 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: x = 90 \degree -60\degree} \\ \boxed{\tt{x = 30 \degree}} \: [/tex]
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Supplement
[tex] \tt{1.) \: 12 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: x =180 \degree - 12 \degree} \\ \boxed{\tt{x = 168 \degree}} [/tex]
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[tex] \tt{2.) \: 89 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: x = 180 \degree - 89 \degree} \\ \boxed{\tt{x = 91 \degree}} \: \: [/tex]
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[tex] \tt{3.) \: 175 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 180 \degree -175\degree} \\ \boxed{\tt{x = 5 \degree}} \: \: \: [/tex]
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[tex] \tt{4.) \: 35 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: x = 180 \degree -35\degree} \\ \boxed{\tt{x = 145 \degree}} \: [/tex]
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[tex] \tt{5.) \: 60 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt{ \: \: \: \: \: \: \: \: \: \: \: \: x = 180 \degree -60\degree} \\ \boxed{\tt{x = 120 \degree}} \: [/tex]
