Question

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What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
D
F
42°
109⁰
A
xo
с
E

Answer 1

`\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star`

• Angle x = 29°

`\textsf{ \underline{\underline{Steps to solve the problem} }:}`

• 
  `\sf \: \angle x + 109 + 42 = 180`

( makes co - interior angles, since the two lines are parallel )

• 
  `\sf \: \angle \: x + 151 = 180`

• 
  `\sf \: \angle x =18 0 - 151`

• 
  `\sf \: \angle x = 29 \degree`

`\qquad \large \sf {Conclusion} :`

• x = 29°