Respuesta :

TheAnimeGirl

Step-by-step explanation:

[tex] \underline{\large{ \tt{G \: I \: V \: E \: N}}} : [/tex]

  • Line a & b are parallel
  • m ∠ 8 = 150 °

[tex] \underline{ \large{ \tt{T \: O\: \: F \: I \: N \:D}}} : [/tex]

  • m ∠ 2

[tex] \underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} : [/tex]

[tex] \large{ \tt{m \: \angle \: 8 \: + \: m \: \angle \: 2 = 180 \degree}}[/tex] [ Sum of co-interior angles ]

⤑ [tex] \large{ \tt{150 \degree \: + m \: \angle \: 2}} = 180 \degree[/tex]

⤑ [tex] \large{ \tt{m \angle \: 2 \: = \: 180 \degree - 150 \degree}}[/tex]

⤑ [tex] \large{ \tt{m \: \angle \: 2 \: = \bold{ \tt{30 \degree}}}}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !!

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Given:-

  • Line A and B are || to each other
  • Value of m∠8 is 150°

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To Find:-

  • Value of m∠2

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Solution:-

m∠2 = 30°

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Step by Step Explanation:-

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[tex]\begin{gathered}\:\: :\implies\sf m\angle\;8 \;+\:m\angle\;2 =180 ^{\circ}\\\\\\ :\implies\sf 150 ^{\circ}\: + m\angle\;2 = 180 ^{\circ}\\\\\\ :\implies\sf m\angle\;2 = 180 ^{\circ} - 150 ^{\circ}\\\\\\:\implies\sf m\angle\;2 = 30 ^{\circ}\end{gathered}[/tex]

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