Question

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

Explanation:

Step1: Set up equation

Since the sum of the angles is 180° (a straight - line angle), we have $(k + 2)+90+(2k - 2)=180$.

Step2: Simplify the left - hand side

Combine like terms: $(k+2k)+(2 - 2)+90=180$, which simplifies to $3k+90 = 180$.

Step3: Isolate the variable term

Subtract 90 from both sides: $3k+90-90=180 - 90$, resulting in $3k=90$.

Step4: Solve for k

Divide both sides by 3: $\frac{3k}{3}=\frac{90}{3}$, so $k = 30$.

Answer:

$k = 30$