Question

Please help need 100

Answer 1

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 2

$\angle EFG\ \text{is supplementary to}\ \angle DBC\ \text{and}\\\\\angle ABC\ \text{is supplementary to}\ \angle DBC\ \text{therefore}\ m\angle EFG=m\angle ABC$

$18x+28+7x+27=180\\\\25x+55=180\ \ \ |-55\\\\25x=125\ \ \ \ |:25\\\\x=5\\\\m\angle EFG=(18x+28)^o=(18\cdot5+28)^o=118^o$


$\text{Answer: A)}\ 118^o$