Answer:
x = 33
Step-by-step explanation:
The sum of interior angles in a polygon can be calculated using the following formula:
Sum = (n - 2) x 180° where n is the number of sides
The given figure is a pentagon with n = 5 sides, n - 2 = 3
The angle that is marked is shown as same as the angle measuring 113°
Adding up all the angles (clockwise from 4x)
4x + 113 + 2x + 9 + 3x + 8 + 113 = 3 x 180
Grouping like terms and adding we get
4x+2x+3x+113+9+8+113= 540
9x + 243 = 540(simplify)
9x = 540 - 243 (subtract 243 both sides)
9x = 297 (simplify right side)
x = 297/9 (divide both sides by 9)
x = 33 (Answer)
