njohnson5223 njohnson5223
  • 09-01-2020
  • Mathematics
contestada

Find the value of each variable

Find the value of each variable class=

Respuesta :

inchu420 inchu420
  • 16-01-2020

Answer:

Therefore,

[tex]x=28\\\\y=28[/tex]

Step-by-step explanation:

First label the diagram Such that

∠ABE = 90°

∠DBE = 62°

∠DBC = 90°

∠ABD = x°

∠EBC = y°

To Find:

x = ?

y = ?

Solution:

By Angle Addition Property we have

[tex]\angle ABE=\angle ABD +\angle DBE[/tex]

Substituting the values we get

[tex]90=x+62\\\\\therefore x=90-62=28\\\\x=28[/tex]

Similarly,

[tex]\angle DBC=\angle EBC +\angle DBE[/tex]

Substituting the values we get

[tex]90=y+62\\\\\therefore y=90-62=28\\\\y=28[/tex]

Therefore,

[tex]x=28\\\\y=28[/tex]

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