PSLE STUV is a rhombus. VXT and VWUY are straight lines.
- Find ∠STV.
- Find ∠VUY.
- Find ∠VXW.
(a)
∠STV
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠TUV
= ∠TSV
= 104° (Rhombus)
∠VUY
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠WTX
= ∠STX
= 38° (Rhombus)
∠TWX
= 180° - 61°
= 119° (Angles on a straight line)
∠VXW
= 38° + 119°
= 157° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 157°