PSLE STUV and TVWX are rhombuses. UYV is a straight line.
- Find ∠VTY.
- Find ∠UVW.
(a)
∠TVU
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠VTY
= 180° - 122° - 35°
= 23° (Angles sum of triangle)
(b)
∠TXW
= 360° - 276°
= 84° (Angles at a point)
∠TVW = ∠TXW = 84° (Rhombus)
∠UVW
= 84° - 35°
= 49°
Answer(s): (a) 23°; (b) 49°