Classify the angles in the figure by choosing the correct term from the choices below. supplementary
complementary
vertical
none of these

The given pair of angles doesn't form any special pair of angles provided in the options , hence the Correct choice is none of these.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

thats not a system of equations, that is a solution