PSLEIn the figure, STUV is a parallelogram. SQV and QUR are straight lines. ∠RUV = 149°, ∠SVU = 45° and ∠SUQ = 23°.
- Find ∠TUR.
- Find ∠TSU.
(a)
∠TUV
= 180° - 45°
= 135° (Interior angles)
∠TUR
= 360° - 149° - 135°
= 76° (Angles at a point)
(b)
∠VUQ
= 180° - 149°
= 31°(Angles on a straight line)
∠TSU
= ∠SUV
= 31° + 23°
= 54° (Alternate angles)
Answer(s): (a) 76°; (b) 54°