PSLE STUV is a rhombus. VXT and VWUY are straight lines.
- Find ∠STV.
- Find ∠VUY.
- Find ∠VXW.
(a)
∠STV
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠TUV
= ∠TSV
= 100° (Rhombus)
∠VUY
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠WTX
= ∠STX
= 40° (Rhombus)
∠TWX
= 180° - 70°
= 110° (Angles on a straight line)
∠VXW
= 40° + 110°
= 150° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 150°