valdezkayla
valdezkayla valdezkayla
  • 23-05-2021
  • Mathematics
contestada

Geometry
Find the value of x. The diagram is not to scale.

Geometry Find the value of x The diagram is not to scale class=

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Corsaquix
Corsaquix Corsaquix
  • 23-05-2021

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Since lines [tex]\overrightarrow{f}[/tex] and [tex]\overrightarrow{g}[/tex] are parallel, the angles labelled in the diagram must be supplementary (add up to [tex]180^{\circ}[/tex]). Therefore, we have the following equation:

[tex]4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}[/tex]

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