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A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x?

User Cburgmer
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1 Answer

4 votes

Given:

Given that the polygon has 4 sides with its exterior angles.

The exterior angles are 140°, 34°, 56° and x°

We need to determine the value of x.

Value of x:

We know that, the exterior angles of a polygon add up to 360°

Thus, we have;


140^(\circ)+34^(\circ)+56^(\circ)+x=360^(\circ)

Adding the terms, we have;


230^(\circ)+x=360^(\circ)

Subtracting both sides of the equation by 230, we get;


x=130^(\circ)

Thus, the value of x is 130°

User John Sorensen
by
7.1k points
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