babanoel360
babanoel360 babanoel360
  • 01-02-2022
  • Mathematics
contestada

A triangle has exterior angle measures of 2x°, 2x°, and x°. Find the value of x.

Respuesta :

dananu36
dananu36 dananu36
  • 01-02-2022

Answer: 72

Step-by-step explanation:

The sum of exterior angles of a triangle is equal to 360º.

For the given triangle:

[tex]2x[/tex]°+[tex]2x[/tex]°[tex]+x[/tex]° = 360

Solve x in the equation above:

[tex]5x=360[/tex]

Divide both sides of the equation into 5:

[tex]\frac{5}{5}x=\frac{360}{5}[/tex]

x=72

Then, the value of x is 72

Please mark be as brainliest would mean a lot to me

Answer Link

Otras preguntas

What steps did Franklin D. Roosevelt take to better the lives of African Americans?
Write an equation for the line that contains the points (-5,50) and (-15,0).
What is the range of the data set?
Im serious this time! This on is the last one!
Carmine reads an article that says that male college students study less than female college students. Carmine wonders if this is really so. He asks 20 randomly
15!!!! POINTSS what is the mode in the data shown below
What is the recommended amount of time to excercise daily?
For a magic trick , Ashley has a classmate pick one card from a standard deck of cards . what is the probability of Ashley 's classmate selecting a heart ? A .
15 POINTS Choose the correct time expression to complete each statement. Vendían frutas frescas ___________. ​ Question 3 options: ayer todos los días
Evaluate (x^3-x^2-3x+8)+(2x^3+3x^2+x-7)