laniahnakai laniahnakai
  • 19-08-2022
  • Mathematics
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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

lt What is the measure of Zx Angles are not necessarily drawn to scale B D F 42 109 A xo с E class=

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GʀɪᴍRᴇᴀᴘᴇʀ
GʀɪᴍRᴇᴀᴘᴇʀ GʀɪᴍRᴇᴀᴘᴇʀ
  • 19-08-2022

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

  • Angle x = 29°

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

  • [tex] \sf \: \angle x + 109 + 42 = 180[/tex]

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

  • [tex]\sf \: \angle \: x + 151 = 180[/tex]

  • [tex]\sf \: \angle x =18 0 - 151[/tex]

  • [tex]\sf \: \angle x = 29 \degree[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

  • x = 29°

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