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Find the complement and supplement of each angle


Find The Complement And Supplement Of Each Angle class=

Sagot :

Answer:

1. 73°

complement: 17°

supplement: 107°

2. 41°

complement: 49°

supplement: 139°

3. 82°

complement: 8°

supplement: 98°

4. 30°

complement: 60°

supplement: 150°

5. 7°

complement: 83°

supplement: 173°

Explanation:

complement angle - add to 90°

supplement angle - add to 180°

[tex] \large\sf{Answer }[/tex]

B. Find the complement and supplement of each angle.

[tex]\begin{gathered}\begin{gathered} \begin{array}{|c|c|c|} \hline \sf Angle & \sf Complement & \sf Supplement \\ \hline \tt 1.) \: \: 73 \degree \: & \tt 17 \degree & \tt 107 \degree \\ \hline \tt 2.) \: \: \: 41 \degree & \tt 49 \degree & \tt 139 \degree \\ \hline \tt 3.) \: 82 \degree & \tt 8 \degree & \tt98 \degree \\ \hline \tt 4.) \: \: \: 30 \degree & \tt60\degree & \tt 150 \degree \\ \hline \tt 5.) \: \: \: 7\degree & \tt 83 \degree & \tt 173 \degree \\ \hline \end{array}\end{gathered}\end{gathered} [/tex]

[tex] \large{ \sf{Solution}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \large{\underline{\sf{Complement}}}[/tex]

[tex] \sf{1) \: 73 \degree + x = 90 \degree} \\ \sf{x = 90 \degree - 73} \degree \\ \sf{x = 17 \degree}[/tex]

[tex] \sf{2) \: 41 \degree + 7 = 90 \degree} \\ \sf{x = 90 \degree - 41 \degree} \\ \sf{x = 49 \degree}[/tex]

[tex] \sf{3) \: 82 \degree + x= 90 \degree} \\ \sf{x = 90 \degree - 82} \\ \sf{x = 8}[/tex]

[tex] \sf{4) \: 30 \degree + x = 90 \degree} \\ \sf{x = 90 \degree - 30 \degree} \\ \sf{x = 60 \degree}[/tex]

[tex] \sf{5) \: 7 \degree + x = 90 \degree} \\ \sf{x = 90 \degree - 7} \\ \sf{x = 83}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \large{\underline{\sf{Supplement}}}[/tex]

[tex] \sf{1) \: 73 \degree + x = 180 \degree} \\ \sf{x = 180 \degree - 73 \degree} \\ \sf{x = 107 \degree}[/tex]

[tex] \sf2) \: 41 \degree + x = 180 \degree \\ \sf x = 180 \degree - 41 \degree \\ \sf x = 139 \degree[/tex]

[tex] \sf{3) \: 82 \degree + x = 180 \degree} \\ \sf{x = 180 \degree - 82 \degree} \\ \sf{x = 98 \degree}[/tex]

[tex] \sf{4) \: 30 \degree + x = 180 \degree} \\ \sf{x = 180 \degree - 30 \degree} \\ \sf{x = 150 \degree}[/tex]

[tex] \sf{5) \: 7 \degree + x = 180 \degree} \\ \sf{x = 180 \degree - 7 \degree} \\ \sf{x = 173 \degree}[/tex]