Answer:
sum of interior angles = 540
x = 20.833
Step-by-step explanation:
The formula for the sum of the interior angles is (n-2)*180, n is the number of sides
This irregular shape has 5 sides, so (5-2)*180 is our equation
3*180 = 540
so we add all the angles
5x+2+5x+10+2x+5+8x+8+4x+15
combine like terms
5x+5x+2x+8x+4x = 24x
2+10+5+8+15 = 40
24x+40=540 is our final equation thta we have to simplify.
(we make the equation equal to 540 since that is the sum of interior angles and all of those are interior angles.)
Subtract 40 from both sides
24x=500
divide both sides by 24
20.83333 is x
