PSLE In the figure, RSWX is a parallelogram and TUVW is a rhombus. XWV is a straight line. ∠SRX = 56°, ∠WST = 29° and ∠UTV = 32°.
- Find ∠SWT.
- Find ∠STU.
(a)
∠SWX
= ∠SRX
= 56° (Parallelogram)
∠UVT
= ∠UTV
= 32° (Isosceles triangle)
∠TUV
= 180° - 32° - 32°
= 109° (Angles sum of triangle)
∠TWV
= ∠TUV
= 109° (Rhombus)
∠SWT
= 180° - 56° - 109°
= 15° (Angles on a straight line)
(b)
∠STW
= 180° - 29° - 15°
= 136° (Angles sum of triangle)
∠VTW
= ∠UTV
= 32° (Rhombus)
∠STU
= 360° - 136° - 32° - 32°
= 160° (Angles at a point)
Answer(s): (a) 15°; (b) 160°