PSLE STUV and TVWX are rhombuses. UYV is a straight line.
- Find ∠VTY.
- Find ∠UVW.
(a)
∠TVU
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠VTY
= 180° - 132° - 39°
= 9° (Angles sum of triangle)
(b)
∠TXW
= 360° - 294°
= 66° (Angles at a point)
∠TVW = ∠TXW = 66° (Rhombus)
∠UVW
= 66° - 39°
= 27°
Answer(s): (a) 9°; (b) 27°