Question

solve for the value of k.
answer attempt 1 out of 2
k =

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). So, \((3k + 8)+112=180\).

Step2: Simplify the equation

First, combine like - terms: \(3k+8 + 112=3k+(8 + 112)=3k + 120\). The equation becomes \(3k+120 = 180\).

Step3: Solve for \(k\)

Subtract \(120\) from both sides: \(3k+120-120=180 - 120\), which gives \(3k=60\). Then divide both sides by \(3\): \(k=\frac{60}{3}\).

Answer:

\(20\)