Question

show your work here
$m\angle k = 52$
find the value of $x$.
draw
$(-6x + 44)^{circ}$ $(-8x + 24)^{circ}$
show your work here

Explanation:

Step1: Set up equation

The two angles $(-6x + 44)^{\circ}$ and $(-8x + 24)^{\circ}$ are supplementary since they form a straight - line. So, $(-6x + 44)+(-8x + 24)=180$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $-6x-8x+44 + 24=180$, which simplifies to $-14x+68 = 180$.

Step3: Isolate the variable term

Subtract 68 from both sides of the equation: $-14x=180 - 68$, so $-14x=112$.

Step4: Solve for x

Divide both sides by - 14: $x=\frac{112}{-14}$.

Answer:

$x=-8$