PSLE In the figure, QRVW is a parallelogram and STUV is a rhombus. WVU is a straight line. ∠RQW = 56°, ∠VRS = 29° and ∠TSU = 32°.
- Find ∠RVS.
- Find ∠RST.
(a)
∠RVW
= ∠RQW
= 56° (Parallelogram)
∠TUS
= ∠TSU
= 32° (Isosceles triangle)
∠STU
= 180° - 32° - 32°
= 105° (Angles sum of triangle)
∠SVU
= ∠STU
= 105° (Rhombus)
∠RVS
= 180° - 56° - 105°
= 19° (Angles on a straight line)
(b)
∠RSV
= 180° - 29° - 19°
= 132° (Angles sum of triangle)
∠USV
= ∠TSU
= 32° (Rhombus)
∠RST
= 360° - 132° - 32° - 32°
= 164° (Angles at a point)
Answer(s): (a) 19°; (b) 164°