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What is the value of x?

What is the value of angle G?
What is the value of angle D?
What is the value of angle F?
What is the value of angle E?





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What is the value of x? What is the value of angle G? What is the value of angle D-example-1
User Brayden
by
4.5k points

1 Answer

4 votes

Answer:

See below ↓

Explanation:

  • ∠G = ∠E and ∠F = ∠D [opposite angles in a ║gm]
  • 3x + 11 = 5x - 9
  • 2x = 20
  • x = 10

  • ∠G = 5(10) - 9 = 41°
  • ∠E = 3(10) + 11 = 41°

Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]

  • 360 - 82
  • 278
  • ∠F and ∠D = 1/2(278) = 139°
User Kristianmitk
by
4.4k points