Angles come up in many different contexts:
In many geometric figures, there are relationships between the angles (i.e., certain properties and patterns that always hold).
In the figure below, the line through \(R\) and \(S\) is parallel to the line through \(V\) and \(U\). Two line segments, \(RT\) and \(TU\), are drawn such that \(T\) is between the two parallel lines and \(\angle SRT=18^\circ\). Find the measure of the obtuse angle \(\angle RTU\), if \(\angle RTU\) is twice is large as \(\angle TUV\).