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

preschoolers use ___ which means they talk as though the listener will understand their words just as they do
They Said, we We will not permit this".​
I need the center of this circle ! Help me please!
The temperature, F, in degrees Fahrenheit, after t hours of a roast put into an oven is given by the equation F=325-185e^-0.4t. What was the temperature of the
Find the median and mean of the data set below: 40,38,1,19,8,36,40
Does the phrase "dives below the surface of the ocean" represent a positive or negative number? a) Positive b) Negative c) Neither d) Both
Divide the fractions and reduce: 2 1/4 ÷ 1/6a. 3 3/4b. 3 2/3c. 3 1/2d. 3 1/3
How many pairs of vertical angles are there9
is -97.5 an interger
If Thando travels at a speed of 100km/h and his journey takes him 40 minutes the first time. How long will the same journey take him if he travels at 80km/h the