Question

solve for the value of k.

Explanation:

Step1: Set up equation using angle - sum property

Since the two angles are supplementary (sum to 180°), we have the equation $(3k + 8)+112=180$.

Step2: Simplify the left - hand side

$3k+(8 + 112)=180$, so $3k+120 = 180$.

Step3: Isolate the term with k

Subtract 120 from both sides: $3k=180 - 120$, so $3k=60$.

Step4: Solve for k

Divide both sides by 3: $k=\frac{60}{3}$.

Answer:

$k = 20$