Answer:
[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]
Step-by-step explanation:
By properties of parallelograms we know that opposite are the same so we have
[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]
so for the angles we have
[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]
