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find the measure of \\( \\angle knh \\). \\( m \\angle knh = \\square ^…

Question

find the measure of \\( \angle knh \\).
\\( m \angle knh = \square ^ { \circ } \\)

Explanation:

Step1: Use the property of corresponding angles

Since \(IJ\parallel KL\), \(\angle KNH\) and \(\angle GMJ\) are corresponding angles. So \(30x - 15=25x\).

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Step2: Calculate the measure of \(\angle KNH\)

Substitute \(x = 3\) into \(30x-15\).

$$ LATEXBLOCK1 $$

Answer:

\(75\)