PSLEIn the figure, STUV is a parallelogram. SQV and QUR are straight lines. ∠RUV = 152°, ∠SVU = 43° and ∠SUQ = 19°.
- Find ∠TUR.
- Find ∠TSU.
(a)
∠TUV
= 180° - 43°
= 137° (Interior angles)
∠TUR
= 360° - 152° - 137°
= 71° (Angles at a point)
(b)
∠VUQ
= 180° - 152°
= 28°(Angles on a straight line)
∠TSU
= ∠SUV
= 28° + 19°
= 47° (Alternate angles)
Answer(s): (a) 71°; (b) 47°