Respuesta :

jcherry99

Answer:

x = 60

Step-by-step explanation:

<DGC = 90 degrees            Given

<AGB = <DGC                       Vertically opposite angles.

<AGB = 90 degrees.            <AGB takes on the properties of <DGB

30 + x + 90 = 180                 The three angles make up a line.

120 + x = 180                         Combine like terms..

x = 180 - 120                          Subtract 120 from both sides

x = 60
X=60 because angle G is 90° making the two angles D and E having to add up to 90 as well. D would =60 then because 90-30=60. Then angle X is vertical to that making the two angles congruent.

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