Question

look at this diagram:
diagram of lines np, qs parallel with transversal mt, points n, o, p on np; q, r, s on qs; m, o, r, t on mt
if \\(\overleftrightarrow{np}\\) and \\(\overleftrightarrow{qs}\\) are parallel lines and \\(m\angle qro = 43^\circ\\), what is \\(m\angle nor\\)?
\\(\square^\circ\\)
submit

Explanation:

Step1: Identify alternate interior angles

Lines $\overleftrightarrow{NP} \parallel \overleftrightarrow{QS}$, transversal $\overleftrightarrow{MT}$ creates alternate interior angles $\angle NOR$ and $\angle QRO$.

Step2: Apply alternate interior angles theorem

Alternate interior angles formed by parallel lines and a transversal are congruent, so $m\angle NOR = m\angle QRO$.
<Expression>$m\angle NOR = 43^\circ$</Expression>

Answer:

$43$