MeliahC538800 MeliahC538800
  • 25-10-2022
  • Mathematics
contestada

In the diagram below of rhombus ABCD,angle C is 100,what is angle DBC

In the diagram below of rhombus ABCDangle C is 100what is angle DBC class=

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ClarisaC170744 ClarisaC170744
  • 25-10-2022

Okay, here we have this:

Considering the provided information, that in a rhombus opposite angles are equal, and that the sum of the angles of a triangle is 360 °, we obtain:

360°=100°+100°+4(m∠DBC)

Now, let's clear "m∠DBC":

360°=200°+4(m∠DBC)

4(m∠DBC)=360°-200°

4(m∠DBC)=160°

m∠DBC=160°/4

m∠DBC=40°

Finally we obtain that the correct answer is the option A.

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