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

Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
Scarcity is the condition of not having enough goods and services to satisfy everyone's?
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
what is the answer for (20,8),(9,16) ?
Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
(10y^3+20y^2+55y)/5y
Data are drawn from a symmetric and bell shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. What
How were life forms affected by the rise in atmospheric oxygen levels that began 2.2 billion years ago?
How is it possible for Mercury to have frozen ice ?
(10y^3+20y^2+55y)/5y