Question 841256
<pre>
Use the formula for the sum of the interior angles of a polygon with n sides:

                             Sum of interior angles = (n-2)(180°) 

Use n=8

     Sum of interior angles = (8-2)(180°) = 6(180°) = 1080°

(x+55)°+(3x+20)°+4x°+(4x-10)°+(6x-55)°+(3x+52)°+3x° = 1080°

                 x+55+3x+20+4x+4x-10+6x-55+3x+52+3x = 1080

Combine like terms and solve for x.  You finish.

Edwin</pre>