Question

find the m∠nwh.

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In \(\triangle NVH\), \(\angle VHA\) is an exterior angle, and \(\angle VNH\) and \(\angle NVH\) are the non - adjacent interior angles. Let \(\angle NWH=\angle NVH\), \(\angle VNH = 65^{\circ}\), and \(\angle VHA=128^{\circ}\).
So, \(\angle VHA=\angle VNH+\angle NVH\).

Step2: Solve for \(\angle NVH\)

We can rewrite the equation as \(\angle NVH=\angle VHA - \angle VNH\).
Substitute \(\angle VHA = 128^{\circ}\) and \(\angle VNH=65^{\circ}\) into the equation: \(\angle NVH=128^{\circ}-65^{\circ}\).
\(\angle NVH = 63^{\circ}\).

Answer:

\(63^{\circ}\)