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Answer:
∠XWY = 58°
∠YXZ = 32°
∠WVZ = 116°
∠XWZ = 90°
∠XZY = 58°
Step-by-step explanation:
Triangle VWX is isosceles. Its base angles are (180° -64°)/2 = 58°.
∠XWY = 58°
The other corner angles are the complement of this.
∠YXZ = 32°
The obtuse angles at V are the supplement of the one marked
∠WVZ = 116°
We assume the figure is a rectangle, so each full corner angle is a right angle.
∠XWZ = 90°
The remaining angle of interest is congruent to the first angle of interest.
∠XZY = 58°
