Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10. What is m angle D.

Step-by-step explanation:

-x + 26 = 2x - 10

+x             +x

26 = 3x - 10

+10        +10

36 = 3x

 3     3

x = 12

<D = 2x - 10

<D = 2(12) - 10

<D = 24 - 10

<D = 14

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