what is the value of k?\no k = 28\no k = 29\no k = 31\no k = 42\n(5k - 3)° (9 + k)°

Answer

Explanation:

Step1: Use linear - pair property

The two angles ((5k - 3)^{\circ}) and ((9 + k)^{\circ}) are a linear - pair, so their sum is (180^{\circ}). We set up the equation ((5k-3)+(9 + k)=180).

Step2: Combine like terms

(5k-3 + 9 + k=180) simplifies to (6k+6 = 180).

Step3: Isolate the variable term

Subtract 6 from both sides of the equation: (6k+6-6=180 - 6), which gives (6k=174).

Step4: Solve for k

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

Answer:

(k = 29)