Anyone can help me ?

9514 1404 393

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

  x = 180° -100° = 80°

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The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

  y = 40°

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The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

  100° = 40° +z

  z = 100° -40° = 60°

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