PSLEIn the figure, RSTU is a parallelogram. RPU and PTQ are straight lines. ∠QTU = 153°, ∠RUT = 45° and ∠RTP = 18°.
- Find ∠STQ.
- Find ∠SRT.
(a)
∠STU
= 180° - 45°
= 135° (Interior angles)
∠STQ
= 360° - 153° - 135°
= 72° (Angles at a point)
(b)
∠UTP
= 180° - 153°
= 27°(Angles on a straight line)
∠SRT
= ∠RTU
= 27° + 18°
= 45° (Alternate angles)
Answer(s): (a) 72°; (b) 45°