Answer:
I got 104
Step-by-step explanation:
From our given information, since Angle DGF from a 90 degree angle, Due to our linear pair rule EGF is also a perpendicular angle. EGF and DGC are vertical angles so Angle DGC is 90 degrees.
Triangle DGC have two interior angles 90 and 37 so using the triangle interior theorem we can find the 3r
d side
[tex]90 + 37 + x = 180[/tex]
[tex]127 + x = 180[/tex]
[tex]x = 53[/tex]
Know that angle is 53 we can add 53 and 51 together to find Angle D full degree measure is 104.
Adjacent angles in parallelogram are supplementary so angle d plus angle c equals 180.
Angle C measure has to add up to 76 then so
[tex]37 + x = 76[/tex]
[tex]x = 39[/tex]
So the missing angle is 39 and angle c full side measure is 76.
Angle B and Angle C
are also adjacent angles so
[tex]76 + x = 180[/tex]
x=104
B=104
