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Figure ABDC is a parallelogram find the information below
Please help thank you

Figure ABDC is a parallelogram find the information below Please help thank you-example-1
User Mehmetx
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1 Answer

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Answer:

  • DC = 16
  • ∠DCB = 120°
  • EB = 10.2
  • ∠ADC = 60°
  • ∠ABE = 17°

Explanation:

The figure is a parallelogram, so ...

AB ≅ DC = 16

Opposite angles are congruent, so ...

∠DAB ≅ ∠DCB = 120°

The diagonals cross at their midpoints, so ...

ED ≅ EB = 10.2

Adjacent angles in a parallelogram are supplementary, so ...

180° -∠DAC = 180° -120° = ∠ADC = 60°

The sum of angles in ∆ABD is 180°, so ...

180° -120° -43° = ∠ABE = 17°

User Drneel
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