Option C:
The value of x is 27.
Solution:
Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.
Sum of exterior angles of a polygon = 360°
⇒ 56° + 2x° + 85° + 57° + 4x° = 360°
⇒ 198° + 6x° = 360°
Subtract 198° from both sides of the equation.
⇒ 6x° = 162°
Divide by 6 on both sides, we get
⇒ x° = 27°
⇒ x = 27
The value of x is 27.
Option C is the correct answer.