# In ΔABC, mangleA=x, mangleB = 2x + 2, mangleC=3x + 4 what is the value of x?

Dec 28, 2016

$x = 29$

#### Explanation:

In a triangle, the three interior angles always add to ${180}^{\circ}$

$\implies x + \left(2 x + 2\right) + \left(3 x + 4\right) = 180$
$\implies 6 x + 6 = 180$
$\implies 6 x = 180 - 6 = 174$
$\implies x = \frac{174}{6} = 29$