babanoel360
Answered

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

Sagot :

dananu36

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

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