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The measures of a triangle are shown in the figure below solve for X

The Measures Of A Triangle Are Shown In The Figure Below Solve For X class=

Sagot :

Recall that the interior angles of a triangle add up to 180 degrees, therefore we can set the following equation:

[tex]6x-16+6x+19+57=180.[/tex]

Adding like terms we get:

[tex]12x+60=180.[/tex]

Subtracting 60 from the above equation we get:

[tex]12x=120.[/tex]

Finally, dividing by 12 we get:

[tex]x=10.[/tex]

Answer: x=10.

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