SOLUTION: on my homework i have a polygon shape and the four interior angles are (5x+30), (10x-10), (8x-1, and (6x-7)... how do i solve for x?

Algebra ->  Polygons -> SOLUTION: on my homework i have a polygon shape and the four interior angles are (5x+30), (10x-10), (8x-1, and (6x-7)... how do i solve for x?      Log On


   



Question 461265: on my homework i have a polygon shape and the four interior angles are (5x+30), (10x-10), (8x-1, and (6x-7)... how do i solve for x?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Since this polygon has four angles it's a rectangle. We know that the sum of interior angles of the rectangle is 360 degree.We write the equation:
%285x%2B30%29%2B%2810x-10%29%2B%288x-1%29%2B%286x-7%29=360, solving this equation we get:x=12.
Answer:The angles of the rectangle are:5*12+30=90; 10*12-10=110; 8*12-1=95 and
6*12-7=65 degree.