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I need help finding the missing information for a rhombus

I need help finding the missing information for a rhombus-example-1
User Crays
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1 Answer

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Answer:

  • ∠BCE = 28°
  • ∠ABE = 62°
  • ∠BAD = 56°

Explanation:

The diagonals of a rhombus bisect each other at right angles, and bisect each of the vertex angles. Of course, adjacent vertex angles are supplementary.

Assuming E is where the diagonals cross, then we have ...

∠ABE = 124°/2 = 62°

∠BCE = 90° -62° = 28°

∠BAD = 2·28° = 56° . . . (= 180° -124°)

User Abasu
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