PSLE STUV and TVWX are rhombuses. UYV is a straight line.
- Find ∠VTY.
- Find ∠UVW.
(a)
∠TVU
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠VTY
= 180° - 122° - 36°
= 22° (Angles sum of triangle)
(b)
∠TXW
= 360° - 283°
= 77° (Angles at a point)
∠TVW = ∠TXW = 77° (Rhombus)
∠UVW
= 77° - 36°
= 41°
Answer(s): (a) 22°; (b) 41°