In the figure, RUXA is a rectangle, XYAB is a rhombus and UVWX is a parallelogram. ∠XYA = 76° and ∠WXY = 97°.
- Find ∠TXU
- Find ∠XWV
(a)
∠ABX = ∠AYX = 76°
∠BXA
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠TXU
= 90° - 52°
= 38°
(b)
∠UXW
= 360° - 97° - 90° - 52°
= 121° (Angles at a point)
∠VWX
= 180° - 121°
= 59° (Interior Angles, UX//VF)
Answer(s): (a) 38°; (b) 59°