PSLE In the figure, QRVW is a parallelogram and STUV is a rhombus. WVU is a straight line. ∠RQW = 57°, ∠VRS = 29° and ∠TSU = 34°.
- Find ∠RVS.
- Find ∠RST.
(a)
∠RVW
= ∠RQW
= 57° (Parallelogram)
∠TUS
= ∠TSU
= 34° (Isosceles triangle)
∠STU
= 180° - 34° - 34°
= 103° (Angles sum of triangle)
∠SVU
= ∠STU
= 103° (Rhombus)
∠RVS
= 180° - 57° - 103°
= 20° (Angles on a straight line)
(b)
∠RSV
= 180° - 29° - 20°
= 131° (Angles sum of triangle)
∠USV
= ∠TSU
= 34° (Rhombus)
∠RST
= 360° - 131° - 34° - 34°
= 161° (Angles at a point)
Answer(s): (a) 20°; (b) 161°