If two lines are cut by a transversal such that corresponding angles are not congruent, what must be true? justify your response.

Answer and Step-by-step explanation:

what must be true is that this particular two lines are not a set of PARALLEL lines. When the lines are parallel, the corresponding angles are congruent  and the then the pairs of consecutive angles formed are supplementary .  

If we are takling about corresponding angles, they will not be congruent if the lines are not parallel

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