jpower292 jpower292
  • 15-11-2019
  • Mathematics
contestada

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

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 27-11-2019

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:

[tex]72+58+2x+3x=360\\130+5x=360\\5x=230\\x=\frac{230}{5}\\x=46[/tex]

The value of x is 46

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