Question

1. examine the given figure

what is the measure of angle anp?
options: 131°, 18°, 141°, 31°

Explanation:

Step1: Find angle at A

A straight line is \(180^\circ\), so angle \(\angle NAP = 180^\circ - 162^\circ = 18^\circ\).

Step2: Find angle at P

Similarly, angle \(\angle NPA = 180^\circ - 149^\circ = 31^\circ\).

Step3: Calculate angle ANP

In triangle \(ANP\), sum of angles is \(180^\circ\). So \(\angle ANP = 180^\circ - 18^\circ - 31^\circ = 131^\circ\).

Answer:

\(131^\circ\) (the option with \(131^\circ\))