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  • 20-05-2020
  • Mathematics
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PLEASEEEE HELPPP MEEE WITHHH THISS QUESTIONN PLEASEEE!!!!
I NEED A GREAT EXPLANATION PLEASEE!!!!

PLEASEEEE HELPPP MEEE WITHHH THISS QUESTIONN PLEASEEE I NEED A GREAT EXPLANATION PLEASEE class=

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DeanR
DeanR DeanR
  • 20-05-2020

The diagonal of a rhombus divides it into two congruent isosceles triangles.

So ∠CBD ≅ ∠CDB

∠CBD + ∠CDB + 68 = 180

2∠CBD = 180 - 68 = 112

∠CBD = 56

We also have

∠BDE + ∠E + ∠DBE = 180

∠DBE = 180 - 73 - 36 = 71

∠EBC = ∠EBD - ∠CBD = 71 - 56 = 15

Answer: ∠EBC = 15 degrees

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