Question

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?

Answer 1

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°