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# The angles of a triangle are 2x, (2x+1), and (2x+13). Find all the angles?

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?

#### Explanation

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#### Explanation:

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1
Jun 19, 2018

color(blue)((166/3)^@,(169/3)^@,(205/3)^@

#### Explanation:

The sum of the interior angles of a triangle is ${180}^{\circ}$

$\therefore$

$2 x + \left(2 x + 1\right) + \left(2 x + 13\right) = 180$

$6 x + 14 = 180$

$6 x = 180 - 14 = 166$

$x = \frac{166}{6} = \frac{83}{3}$

So the angles are:

2x=2(83/3)=color(blue)((166/3)^@

(2x+1)=(2(83/3)+1)=color(blue)((169/3)^@

(2x+13)=(2(83/3)+13)=color(blue)((205/3)^@

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