sethcavazos72 sethcavazos72
  • 11-05-2024
  • Mathematics
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If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x?



If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is 4 x 8 degrees what is the value of x class=

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1talentedtutor 1talentedtutor
  • 11-05-2024

Answer:

x=14

Step-by-step explanation:

FGH and EGD are vertical angles.

Vertical angles are congruent.

[tex]4x+8=64\\4x=64-8\\4x=56\\\frac{4x}{4}=\frac{56}{4}\\ x=14[/tex]

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