PSLE In the figure, QRVW is a parallelogram and STUV is a rhombus. WVU is a straight line. ∠RQW = 56°, ∠VRS = 27° and ∠TSU = 33°.
- Find ∠RVS.
- Find ∠RST.
(a)
∠RVW
= ∠RQW
= 56° (Parallelogram)
∠TUS
= ∠TSU
= 33° (Isosceles triangle)
∠STU
= 180° - 33° - 33°
= 106° (Angles sum of triangle)
∠SVU
= ∠STU
= 106° (Rhombus)
∠RVS
= 180° - 56° - 106°
= 18° (Angles on a straight line)
(b)
∠RSV
= 180° - 27° - 18°
= 135° (Angles sum of triangle)
∠USV
= ∠TSU
= 33° (Rhombus)
∠RST
= 360° - 135° - 33° - 33°
= 159° (Angles at a point)
Answer(s): (a) 18°; (b) 159°