Given the following angles:
2x
3x
(x + 12)
(2x + 4)
We know the sum of angle measures 360 degrees.
Thus, we have:
2x + 3x + x + 12 + 2x + 4 = 360
Let's solve for x:
Collect like terms
2x + 3x + x + 2x + 12 + 4 = 360
8x + 16 = 360
Subtract 16 from both sides:
8x + 16 - 16 = 360 - 16
8x = 344
Divide both sides by 8:
[tex]\begin{gathered} \frac{8x}{8}=\text{ }\frac{344}{8} \\ \\ x\text{ = 43} \end{gathered}[/tex]Therefore, the value of x is 43
ANSWER:
x = 43
