PSLE STUV and TVWX are rhombuses. UYV is a straight line.
- Find ∠VTY.
- Find ∠UVW.
(a)
∠TVU
= (180° - 100°) ÷2
= 80° ÷ 2
= 40° (Isosceles triangle)
∠VTY
= 180° - 130° - 40°
= 10° (Angles sum of triangle)
(b)
∠TXW
= 360° - 275°
= 85° (Angles at a point)
∠TVW = ∠TXW = 85° (Rhombus)
∠UVW
= 85° - 40°
= 45°
Answer(s): (a) 10°; (b) 45°