PSLE RSTU is a rhombus. UWS and UVTX are straight lines.
- Find ∠RSU.
- Find ∠UTX.
- Find ∠UWV.
(a)
∠RSU
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠STU
= ∠SRU
= 108° (Rhombus)
∠UTX
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠VSW
= ∠RSW
= 36° (Rhombus)
∠SVW
= 180° - 64°
= 116° (Angles on a straight line)
∠UWV
= 36° + 116°
= 152° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 152°