Question

which angle is the included angle for \\(\overline{mp}\\) and \\(\overline{mn}\\)?
\\(\circ\\) \\(\angle m\\)
\\(\circ\\) \\(\angle n\\)
\\(\circ\\) \\(\angle p\\)
(image of triangle mnp with vertices m, n, p)

Explanation:

An included angle between two sides (segments) is the angle whose vertex is the common endpoint of the two sides. For segments \( \overline{MP} \) and \( \overline{MN} \), the common endpoint is \( M \). So the angle with vertex \( M \) (i.e., \( \angle M \)) is the included angle between \( \overline{MP} \) and \( \overline{MN} \).

Answer:

\( \boldsymbol{\angle M} \)