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Angle e and angle f are supplementary. If m ZE5(9x - 38) and mZF = (2x + 42)", find mZF.28. 21 a(6x +mZF =

Angle e and angle f are supplementary. If m ZE5(9x - 38) and mZF = (2x + 42)&quot-example-1
User Eduardo Romero
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1 Answer

15 votes
15 votes

Given:

Angles E and F are given supplementary angles.


\begin{gathered} m\angle E=(9x-38)^(\circ) \\ m\angle F=(2x+42)^(\circ) \end{gathered}

The supplementary angles are the angles whose measures add upto 180 degrees.

Hence,


m\angle E+m\angle F=180

Substituting the values,


\begin{gathered} 9x-38+2x+42=180 \\ 11x+4=180 \\ 11x=180-4 \\ 11x=176 \\ x=(176)/(11) \\ x=16 \end{gathered}

Hence,


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User Sahar Millis
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