PSLE STUV is a rhombus. VXT and VWUY are straight lines.
- Find ∠STV.
- Find ∠VUY.
- Find ∠VXW.
(a)
∠STV
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠TUV
= ∠TSV
= 110° (Rhombus)
∠VUY
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠WTX
= ∠STX
= 35° (Rhombus)
∠TWX
= 180° - 66°
= 114° (Angles on a straight line)
∠VXW
= 35° + 114°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 149°