Question

look at this diagram:
if \\(\overleftrightarrow{qs}\\) and \\(\overleftrightarrow{tv}\\) are parallel lines and \\(m\angle qru = 127^\circ\\), what is \\(m\angle srp\\)?

Explanation:

Step1: Identify angle relationship

∠QRU and ∠SRP are supplementary angles (they form a linear pair, so their sum is \(180^\circ\)).

Step2: Calculate \(m\angle SRP\)

Given \(m\angle QRU = 127^\circ\), use the formula \(m\angle SRP=180^\circ - m\angle QRU\).
Substitute the value: \(m\angle SRP = 180^\circ - 127^\circ = 53^\circ\).

Answer:

\(53\)