PSLE RSTU is a rhombus. UWS and UVTX are straight lines.
- Find ∠RSU.
- Find ∠UTX.
- Find ∠UWV.
(a)
∠RSU
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠STU
= ∠SRU
= 102° (Rhombus)
∠UTX
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠VSW
= ∠RSW
= 39° (Rhombus)
∠SVW
= 180° - 63°
= 117° (Angles on a straight line)
∠UWV
= 39° + 117°
= 156° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 156°