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look at this diagram: if \\(\\overline{oq}\\) and \\(\\overline{rt}\\) …

Question

look at this diagram: if \\(\overline{oq}\\) and \\(\overline{rt}\\) are parallel lines and (m\angle rsp = 42^{circ}), what is (m\angle tsu)?

Explanation:

Step1: Identify angle - relationship

$\angle RSP$ and $\angle TSU$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle TSU=m\angle RSP$.

Answer:

$42$