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hodyreva [135]
2 years ago
13

What is the value of x?

Mathematics
1 answer:
vovikov84 [41]2 years ago
5 0

Answer:

See below ↓

Step-by-step explanation:

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

<u></u>

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

<u></u>

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

  • 360 - 82
  • 278
  • ∠F and ∠D = 1/2(278) = <u>139°</u>
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