In the figure, UVWX is a square and ∠VYX = 36°. Calculate
- ∠XZW
- ∠VXZ
(a)
∠VZY
= 180° - 90° - 36°
= 54° (Angles sum of triangle)
∠XZW = 54° (Vertically opposite angles)
(b)
∠XVZ = 90° ÷ 2 = 45°
∠VXZ
= 180° - 36° - 90° - 45°
= 9° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 9°