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XKelvinidn

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Notice that all three sides of the given triangle has one tick mark.

This means that all three sides are congruent, meaning that we have an equilateral triangle.

And for equilateral triangles, all three angles are also congruent.

So:

[tex]\angle CBA=\angle BAC=\angle ACB[/tex]

Also, recall that the interior angles of a triangle is always 180. Thus:

[tex]\angle CBA+\angle BAC+\angle ACB=180[/tex]

Substitute:

[tex]\angle CBA+\angle CBA+\angle CBA=180[/tex]

Combine like terms:

[tex]3\angle CBA=180[/tex]

Substitute:

[tex]3(6x)=180[/tex]

Multiply:

[tex]18x=180[/tex]

Thus:

[tex]x=10[/tex]

And we are done!

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