PSLE STUV is a rhombus. VXT and VWUY are straight lines.
- Find ∠STV.
- Find ∠VUY.
- Find ∠VXW.
(a)
∠STV
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠TUV
= ∠TSV
= 102° (Rhombus)
∠VUY
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠WTX
= ∠STX
= 39° (Rhombus)
∠TWX
= 180° - 65°
= 115° (Angles on a straight line)
∠VXW
= 39° + 115°
= 154° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 154°