Question

what is the value of k? k = 28 k = 29 k = 31 k = 42 (5k - 3)° (9 + k)°

Explanation:

Step1: Recall angle - sum property

The sum of adjacent angles on a straight line is 180°. So, $(5k - 3)+(9 + k)=180$.

Step2: Combine like - terms

Combine the $k$ terms and the constant terms: $5k+k-3 + 9=180$, which simplifies to $6k+6 = 180$.

Step3: Isolate the variable term

Subtract 6 from both sides of the equation: $6k=180 - 6$, so $6k=174$.

Step4: Solve for k

Divide both sides by 6: $k=\frac{174}{6}=29$.

Answer:

$k = 29$