Respuesta :

Answer: The value of x is 3.

Step-by-step explanation:

so we know the surface area of the shape as 112.

And to find the missing angle  we could use the equation  

20 + 20 + (10 *x) + ( 10* x) +(2 * x) + (2 * x) =112   solve for x and that is x

20 + 20  + 10x + 10x + 2x + 2x = 112

40 + 24x = 112

-40              -40

 24x = 72

x= 3  

Check:  3 * 10 = 30

           3 * 10 = 30

           2 * 3 = 6

           2 * 3 = 6

            2 * 10 = 20

            2* 10 = 20

30 + 30 + 6 + 6 +20 +20 = 112

112 = 112