Question

look at this diagram:
diagram showing two parallel lines pr and su cut by a transversal ov, with points p, q, r on the top line and s, t, u on the bottom line. angle rqt is 70 degrees.
if \\(\overleftrightarrow{pr}\\) and \\(\overleftrightarrow{su}\\) are parallel lines and \\(m\angle rqt = 70^\circ\\), what is \\(m\angle utq\\)?
text box for answer\\(^\circ\\)
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Explanation:

Step1: Identify angle relationship

$\angle RQT$ and $\angle UTQ$ are same-side interior angles. For parallel lines, same-side interior angles are supplementary (sum to $180^\circ$).

Step2: Calculate $\angle UTQ$

$m\angle UTQ = 180^\circ - m\angle RQT$
$m\angle UTQ = 180^\circ - 70^\circ$

Answer:

$110^\circ$