Question

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

Answer 1

x = 46

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:

`72+58+2x+3x=360\\130+5x=360\\5x=230\\x=(230)/(5)\\x=46`

The value of x is 46