Question

2 numeric 1 point
find the value of x in the following figure. (cc.2.3.hs.a.3)
answer

Explanation:

Step1: Use polygon exterior angle sum

The sum of exterior angles of any polygon is $360^\circ$. So we set up the equation:
$$139 + 6x + 9x + 2x = 360$$

Step2: Combine like terms

Add the terms with $x$ together:
$$139 + 17x = 360$$

Step3: Isolate the variable term

Subtract 139 from both sides:
$$17x = 360 - 139$$
$$17x = 221$$

Step4: Solve for x

Divide both sides by 17:
$$x = \frac{221}{17}$$

Answer:

$13$