Question

given circle u with radii ( overline{uv} ) and ( overline{uw} ) and chords ( overline{xw}, overline{xv}, overline{yv} ) and ( overline{yw} ). name an angle congruent to ( angle vyw ).

Explanation:

Step1: Recall the property of angles subtended by the same arc

Angles subtended by the same arc at the circumference of a circle are congruent.

Step2: Identify the arcs

\(\angle VYW\) and \(\angle VXW\) are subtended by the arc \(\overset{\frown}{VW}\).

Answer:

\(\angle VXW\)