Question

problem 13: (first taught in lesson 49) in \\( \triangle \mathrm { wrp } \\), \\( m \overline { \mathrm { wr } } = 7 \\) and \\( m \overline { \mathrm { wp } } = 5 \\). is \\( \angle \mathrm { p } \\) or \\( \angle \mathrm { r } \\) smaller? after you enter your answer press go.

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Identify the sides and their opposite angles

In \(\triangle WRP\), side \(\overline{WR}\) is opposite \(\angle P\), and side \(\overline{WP}\) is opposite \(\angle R\). Given \(m\overline{WR} = 7\) and \(m\overline{WP}=5\), so \(WR>WP\).

Step3: Determine the smaller angle

Since \(WR > WP\), by the side - angle relationship in a triangle, \(\angle R<\angle P\).

Answer:

\(\angle R\)