PSLE In the figure, QRVW is a parallelogram and STUV is a rhombus. WVU is a straight line. ∠RQW = 57°, ∠VRS = 29° and ∠TSU = 32°.
- Find ∠RVS.
- Find ∠RST.
(a)
∠RVW
= ∠RQW
= 57° (Parallelogram)
∠TUS
= ∠TSU
= 32° (Isosceles triangle)
∠STU
= 180° - 32° - 32°
= 109° (Angles sum of triangle)
∠SVU
= ∠STU
= 109° (Rhombus)
∠RVS
= 180° - 57° - 109°
= 14° (Angles on a straight line)
(b)
∠RSV
= 180° - 29° - 14°
= 137° (Angles sum of triangle)
∠USV
= ∠TSU
= 32° (Rhombus)
∠RST
= 360° - 137° - 32° - 32°
= 159° (Angles at a point)
Answer(s): (a) 14°; (b) 159°