Question

17 multiple choice 6 points
$(5k - 3)^\circ$
$(9 + k)^\circ$
what is the value of k?
$k = 28$
$k = 29$
$k = 31$
$k = 42$

Explanation:

Step1: Set up linear pair equation

The two angles form a straight line, so their sum is $180^\circ$.
$$(5k - 3) + (9 + k) = 180$$

Step2: Simplify the left side

Combine like terms.
$$6k + 6 = 180$$

Step3: Isolate the variable term

Subtract 6 from both sides.
$$6k = 180 - 6 = 174$$

Step4: Solve for k

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

Answer:

k = 29