Answer:
Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.
[tex]\angle ADF + \angle FDC = 90\°[/tex]
And we know that
[tex]\angle ADF=2x\\\angle FDC = x+12[/tex]
Replacing these expressions, we have
[tex]2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26[/tex]
Then, we replace this value in each expression to find both angles measures.
[tex]\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°[/tex]
Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
