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° - 128° - 36°
= 16° (Angles sum of triangle)
(b)
∠TXW
= 360° - 298°
= 62° (Angles at a point)
∠TVW = ∠TXW = 62° (Rhombus)
∠UVW
= 62° - 36°
= 26°
Answer(s): (a) 16°; (b) 26°