Question

which angle has a measure of 46°?
∠pwq ∠qwr ∠rws ∠swt
vertical angles have the same measure.

Explanation:

Step1: Recall vertical angles property

Vertical angles are opposite angles formed by two intersecting lines and are equal in measure.

Step2: Identify vertical angle of \(46^{\circ}\)

Looking at the diagram, \(\angle RWS\) is vertical to the \(46^{\circ}\) angle (\(\angle NWP\)).

Answer:

\(\angle RWS\)