This is a very nasty question. It depends on how you interpret that 2x. The line looks like it is a straight line. But it is marked as an angle. I'm not sure which you believe -- the drawing or the way it is labeled. Because it is labeled the angle 2x is the vertex of two lines, so when you are counting the number of sides, 2x counts as 2 sides .
There are 8 sides
So the sum of the angles is (n - 2)*180 = 6 * 180 = 1080
Solution
x + 143 + 2x + 152 + 116 + 125 + 140 + 139 = 1080 Combine like terms
3x + 815 = 1080
3x = 265
x = 265/3
x = 88.33
If 2x is not an angle and is just the figment of someone's imagination, then the answer is
x + 815 = 900
x = 85
Which answer is correct? You are going to have to try them both. I would use 88.33 but don't be surprised if it is incorrect, and the answer is 85.
Find the square numbers and see which ones 54 lies between 1, 4, 9, 16, 25, 36, 49, 64. It lies between the two square numbers 49 and 64. But you want the square root. So find the square root of 49 and 64. 7 and 8. So the square root of 54 is between 7 and 8. Hope this helps.
