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?

Question

asked May 2, 2021 135k views

1 Answer

John Sorensen · Answer 1 · 2021-05-07T21:18:51+0000

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°