Question

24.2x3x(x + 12)(2x + 4)Sum of angle measures: 360°

Answer 1

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:

$\begin{gathered} \frac{8x}{8}=\text{ }\frac{344}{8} \\ \\ x\text{ = 43} \end{gathered}$

Therefore, the value of x is 43

ANSWER:

x = 43