PSLE In the figure, RSWX is a parallelogram and TUVW is a rhombus. XWV is a straight line. ∠SRX = 58°, ∠WST = 28° and ∠UTV = 32°.
- Find ∠SWT.
- Find ∠STU.
(a)
∠SWX
= ∠SRX
= 58° (Parallelogram)
∠UVT
= ∠UTV
= 32° (Isosceles triangle)
∠TUV
= 180° - 32° - 32°
= 105° (Angles sum of triangle)
∠TWV
= ∠TUV
= 105° (Rhombus)
∠SWT
= 180° - 58° - 105°
= 17° (Angles on a straight line)
(b)
∠STW
= 180° - 28° - 17°
= 135° (Angles sum of triangle)
∠VTW
= ∠UTV
= 32° (Rhombus)
∠STU
= 360° - 135° - 32° - 32°
= 161° (Angles at a point)
Answer(s): (a) 17°; (b) 161°