Question

The exterior angles of a quadrilateral have measures of 72 degrees, 58degrees, 2x degrees, and 3x degrees. Find the value of x.

Answer 1

Answer: Answer: x = 46

Step-by-step explanation: The theorem is:

The sum of all exterior angles of a polygon is 360

Here, our polygon is a "quadrilateral" -- 4 sided figure

We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:

The value of x is 46

Explanation:

Answer 2

Answer: x = 46

Step-by-step explanation: The theorem is:

The sum of all exterior angles of a polygon is 360

Here, our polygon is a "quadrilateral" -- 4 sided figure

We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:

The value of x is 46