what is the value of k? 
k = 28, k = 29, k = 31, k = 42

Solution:

According to the figure shown, the angles (5k - 3)° and (9 + k)° forms a straight line

We know that the sum of angles at a straight line is equal to 180°

⇒ (5k - 3)° + (9 + k)° = 180°

⇒ 5k - 3 + 9 + k = 180°

⇒ (5k + k) + (9 - 3) = 180°

⇒ 6k + 6 = 180°

⇒ 6(k + 1) = 180°

⇒ k + 1 = 180°/6 = 30°

⇒ k + 1 = 30°

⇒ k = 30 - 1 = 29°

⇒ k = 29°

The value of k is 29°

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what is the value of k?
k = 28, k = 29, k = 31, k = 42

Summary:

The value of k is 29°.