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Mariana [72]
3 years ago
5

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

<u>Given rhombus ABCD with</u>

  • m∠EAD = 67°, CE = 5, DE = 12

<u>Properties of a rhombus:</u>

  • All sides are congruent
  • Diagonals are perpendicular
  • Diagonals are angle bisectors
  • Diagonals bisect each other

<u>Solution, considering the above properties</u>

  • 1. m∠AED = 90°, as angle between diagonals
  • 2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
  • 3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
  • 4. AE = CE = 5, as E is midpoint of AC
  • 5. BE = DE = 12, as E is midpoint of BD
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