70.8k views
5 votes
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-example-1
User Quentino
by
8.3k points

1 Answer

4 votes

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

User LaTeX
by
7.0k points