# What is the value of x in a triangle with angles 70, 60, and 8x + 2?

Dec 17, 2015

$x = 6$

#### Explanation:

Since any triangle has a sum of interior angles of ${180}^{\circ}$, we can set up an equation to solve for $x$:

$70 + 60 + \left(8 x + 2\right) = 180$
$60 + \left(8 x + 2\right) = 110$
$8 x + 2 = 50$
$8 x = 48$
$x = 6$

$\therefore$, the value of $x$ is $6$.