angle ABD = 143 degrees
angle CBD = 180-143 = 37 degrees
angle DGF = angle CBD (alternate angles)
therefore angle DGF = 37 degrees
as angle BDF = 82 degrees
angle FDG = 180-82 = 98 degrees
therefore, angle DGF + angle FDG + angle DFG = 180 degrees
37 + 98 + angle DFG = 180
therefore angle DFG = 45 degrees
hope this helps!
