Question

look at this diagram: if qs and tv are parallel lines and m∠tur = 131°, what is m∠sru? °

Explanation:

Step1: Use the property of supplementary angles

When two angles are supplementary, their sum is \(180^{\circ}\). Since \(\overleftrightarrow{QS}\) and \(\overleftrightarrow{TV}\) are parallel lines and \(\angle TUR\) and \(\angle SRU\) are supplementary.
Let \(m\angle SRU = x\). Then \(x + m\angle TUR=180^{\circ}\)

Step2: Substitute the value of \(m\angle TUR\)

Given \(m\angle TUR = 131^{\circ}\). Substitute into the equation \(x+131^{\circ}=180^{\circ}\)
Solve for \(x\): \(x = 180^{\circ}- 131^{\circ}\)
\(x = 49^{\circ}\)

Answer:

\(49\)