PSLE STUV is a rhombus. VXT and VWUY are straight lines.
- Find ∠STV.
- Find ∠VUY.
- Find ∠VXW.
(a)
∠STV
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠TUV
= ∠TSV
= 106° (Rhombus)
∠VUY
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠WTX
= ∠STX
= 37° (Rhombus)
∠TWX
= 180° - 71°
= 109° (Angles on a straight line)
∠VXW
= 37° + 109°
= 146° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 146°