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find the measure of \\( \\angle p s r \\). \\( m \\angle p s r= \\) \\(…

Question

find the measure of \\( \angle p s r \\).
\\( m \angle p s r= \\) \\( { }^{circ} \\)

Explanation:

Step1: Use the property of alternate interior angles

Since \(NO\parallel PQ\), then \((6x + 67)^{\circ}=(131 - 2x)^{\circ}\) (alternate interior angles are equal).

$$ LATEXBLOCK0 $$

Step2: Substitute \(x = 8\) into \(\angle PSR=(131 - 2x)^{\circ}\)

$$ LATEXBLOCK1 $$

Answer:

\(115\)