PSLE RSTU is a rhombus. UWS and UVTX are straight lines.
- Find ∠RSU.
- Find ∠UTX.
- Find ∠UWV.
(a)
∠RSU
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠STU
= ∠SRU
= 104° (Rhombus)
∠UTX
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠VSW
= ∠RSW
= 38° (Rhombus)
∠SVW
= 180° - 69°
= 111° (Angles on a straight line)
∠UWV
= 38° + 111°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 149°