PSLE STUV and TVWX are rhombuses. UYV is a straight line.
- Find ∠VTY.
- Find ∠UVW.
(a)
∠TVU
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠VTY
= 180° - 124° - 38°
= 18° (Angles sum of triangle)
(b)
∠TXW
= 360° - 278°
= 82° (Angles at a point)
∠TVW = ∠TXW = 82° (Rhombus)
∠UVW
= 82° - 38°
= 44°
Answer(s): (a) 18°; (b) 44°