In the figure, RUXA is a rectangle, XYAB is a rhombus and UVWX is a parallelogram. ∠XYA = 80° and ∠WXY = 95°.
- Find ∠TXU
- Find ∠XWV
(a)
∠ABX = ∠AYX = 80°
∠BXA
= (180° - 80°) ÷ 2
= 100° ÷ 2
= 50° (Isosceles triangle)
∠TXU
= 90° - 50°
= 40°
(b)
∠UXW
= 360° - 95° - 90° - 50°
= 125° (Angles at a point)
∠VWX
= 180° - 125°
= 55° (Interior Angles, UX//VF)
Answer(s): (a) 40°; (b) 55°