PSLEIn the figure, RSTU is a parallelogram. RPU and PTQ are straight lines. ∠QTU = 150°, ∠RUT = 44° and ∠RTP = 20°.
- Find ∠STQ.
- Find ∠SRT.
(a)
∠STU
= 180° - 44°
= 136° (Interior angles)
∠STQ
= 360° - 150° - 136°
= 74° (Angles at a point)
(b)
∠UTP
= 180° - 150°
= 30°(Angles on a straight line)
∠SRT
= ∠RTU
= 30° + 20°
= 50° (Alternate angles)
Answer(s): (a) 74°; (b) 50°