Answer:
x = 68
Explanation:
The formula for calculating the sum of interior angles of a polygon is: (n - 2) x 180° (where n is the number of sides)
This polygon has 5 sides, so the sum of the interior angles:
(5 - 2) x 180° = 540°
To find x, add together all the angle expressions, equate to 540 and solve for x:
U + V + W + Y + Z = 540
(x - 8) + (3x - 11) + (x + 8) + x + (2x + 7) = 540
Gather like terms: x + 3x + x + x + 2x - 8 - 11 + 8 + 7 = 540
Combine like terms: 8x -4 = 540
Add 4 to both sides: 8x = 544
Divide both sides by 8: x = 68