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

Answer Link

Otras preguntas

Give an example of a 2 phase mixture and describe how you would separate the substances
what is the estimate of 172.6 divided by 39 ?
Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle.
Complete the operation and explain why you placed the decimal point where you did. 1. 1.8 x 0.3 2. 0.2 x 0.7 3. 12.4 x 3.1 4. 9.5 x 3
As a structural functionalist, I believe that the whole is greater than its parts. As society has become industrialized, the bonds that once held it together ha
Both Thomas Jefferson and Andrew Jackson claimed to represent the interests of the “common man” and laid claim to the adjective “democratic,” especially in cont
In poetry, what are "free verse" and "haiku"?
how are industrialization and imperialism related
A set of equations is given below: Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the follo
Why did spanish monarchs oppose the spread of protestantism?