ellieusher
ellieusher ellieusher
  • 12-04-2020
  • Mathematics
contestada

I need help finding the missing information for a rhombus

I need help finding the missing information for a rhombus class=

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sqdancefan
sqdancefan sqdancefan
  • 12-04-2020

Answer:

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

Step-by-step 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°)

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