Questions: In triangle YPS, overline PS is included between which angles? angle Y and angle P angle S and angle P angle P and angle Y angle S and angle Y

The answer is the second one: \(\angle S\) and \(\angle P\).

Explanation:

• In a triangle, a side is said to be "included" between two angles if it is the side that connects the vertices of those two angles.
• In \(\triangle YPS\), the side \(\overline{PS}\) connects the vertices \(P\) and \(S\).
• Therefore, \(\overline{PS}\) is included between \(\angle S\) and \(\angle P\).

Let's evaluate each option:

1. \(\angle Y\) and \(\angle P\): Incorrect, because \(\overline{PS}\) does not connect the vertices of \(\angle Y\) and \(\angle P\).
2. \(\angle S\) and \(\angle P\): Correct, because \(\overline{PS}\) connects the vertices of \(\angle S\) and \(\angle P\).
3. \(\angle P\) and \(\angle Y\): Incorrect, as it is the same as the first option, just reordered.
4. \(\angle S\) and \(\angle Y\): Incorrect, because \(\overline{PS}\) does not connect the vertices of \(\angle S\) and \(\angle Y\).

In summary, \(\overline{PS}\) is included between \(\angle S\) and \(\angle P\).