pman56364
pman56364
02-05-2018
Mathematics
contestada
Please help need 100
Respuesta :
kanest
kanest
02-05-2018
Angles EFG and ABC are supplementary to DBC, which means that EFG and ABC are the same angle.
Supplementary means that two angles = 180. You can set the two equations of ABC and DBC up so that both equations will add to 180.
(18x + 28) + (7x + 27) = 180
Combine like terms.
18x + 7x = 25x
28 + 27 = 55
25x + 55 = 180.
Subtract 55 from both sides.
25x = 125
Divide both sides by 25 to get x by itself.
x = 5
Plug x into angle ABC.
18(5) + 28
90 + 28 =
118
The answer is A.
Answer Link
gmany
gmany
02-05-2018
[tex]\angle EFG\ \text{is supplementary to}\ \angle DBC\ \text{and}\\\\\angle ABC\ \text{is supplementary to}\ \angle DBC\ \text{therefore}\ m\angle EFG=m\angle ABC[/tex]
[tex]18x+28+7x+27=180\\\\25x+55=180\ \ \ |-55\\\\25x=125\ \ \ \ |:25\\\\x=5\\\\m\angle EFG=(18x+28)^o=(18\cdot5+28)^o=118^o[/tex]
[tex]\text{Answer: A)}\ 118^o[/tex]
Answer Link
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