Respuesta :
Answer:
X=30
Step-by-step explanation:
The whole polygon is 360 degrees so:
360-28-40-120-142=X, which is 30
The value of x = 30°.
What is an exterior angles of an Irregular Polygon?
As in the case with a regular polygon, an irregular polygon even contains exterior angles that count up to 360°. Each exterior angle in an irregular polygon even exists (180° - its linear pair). Therefore the exterior angles add up to 360°.
The entire external angle is equal to 360.
28° + 40° + 120° + 142° + x = 360°
Simplifying the above equation, we get
330° + x = 360°
x = 360°- 330°
x = 30°
Therefore, the value of x = 30°.
To learn more about Irregular Polygon
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