Question

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

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are the angles opposite each other when two lines cross.

Step2: Identify vertical angles in the diagram

In the given diagram, \(\angle NWP = 46^{\circ}\). The angle \(\angle RWS\) is vertical to \(\angle NWP\).
Since vertical angles have the same measure, \(\angle RWS=\angle NWP = 46^{\circ}\)

Answer:

\(\angle RWS\)