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° - 127° - 39°
= 14° (Angles sum of triangle)
(b)
∠TXW
= 360° - 292°
= 68° (Angles at a point)
∠TVW = ∠TXW = 68° (Rhombus)
∠UVW
= 68° - 39°
= 29°
Answer(s): (a) 14°; (b) 29°