Answer:
- arc XY = 90°
- arc WY = 180°
- ∡ZWX = 90°
Step-by-step explanation:
A square has four (4) equal-length sides. When the square is inscribed in a circle, the sides are equal-length chords of the circle. Equal-length chords subtend equal-length arcs, so the inscribed square divides the circle into 4 equal-length arcs. Each one will have a measure of 360°/4 = 90°.
arc XY = 90°
arc WY = 180° . . . . the sum of two shorter arcs, half the circle
The internal angles of a square are all 90°, so ...
∡ZWX = 90°
