Question

solve for the value of k.
answer attempt 1 out of 3
k =
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Explanation:

Step1: Identify angle sum

The angles around a point sum to \(180^\circ\) (linear pair with right angle). So, \((k + 2)^\circ + 90^\circ + (2k - 2)^\circ = 180^\circ\).

Step2: Simplify equation

Combine like terms: \(k + 2 + 90 + 2k - 2 = 180\) → \(3k + 90 = 180\).

Step3: Solve for \(k\)

Subtract 90: \(3k = 90\). Divide by 3: \(k = 30\).

Answer:

\(k = 30\)