Question

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

Step1: Set up the equation

Since the sum of the angles is \(90^{\circ}\) (right - angle), we have \((2k - 2)+(k + 2)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(2k-2 + k+2=3k\). So the equation becomes \(3k = 90\).

Step3: Solve for \(k\)

Divide both sides by \(3\): \(k=\frac{90}{3}\).

Answer:

\(30\)