The figure is not drawn to scale. VYAE is a parallelogram. XBD and WZC are triangles. ∠XBC = 80° and CWZ = 55°. Find
- ∠WXB
- the sum of ∠WCZ, ∠XTZ and ∠ZUB.
(a)
∠WXB
= 180° - 80°
= 100° (Interior angles, VY//EA)
(b)
∠XTZ = ∠WTU (Vertically opposite angles)
∠ZUB = ∠CUT (Vertically opposite angles)
WCUT is a quadrilateral.
∠WCZ + ∠CUT + ∠WTU + 55° = 360° (Sum of angles in a quadrilateral)
∠WCZ + ∠CUT + ∠WTU
= 360° - 55°
= 305°
Answer(s): (a) 100°; (b) 305°