Question

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

Answer 1

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,