Question

question
solve for the value of ( k ).
(3k+8)°
112°

Explanation:

Step1: Identify angle relationship

The two angles \((3k + 8)^\circ\) and \(112^\circ\) are supplementary (they form a straight line, so their sum is \(180^\circ\)). So, we set up the equation:
\((3k + 8)+112 = 180\)

Step2: Simplify the equation

First, combine like terms:
\(3k+120 = 180\)

Step3: Solve for \(k\)

Subtract 120 from both sides:
\(3k=180 - 120\)
\(3k = 60\)
Then divide both sides by 3:
\(k=\frac{60}{3}\)
\(k = 20\)

Answer:

20