PSLEIn the figure, RSTU is a parallelogram. RPU and PTQ are straight lines. ∠QTU = 149°, ∠RUT = 47° and ∠RTP = 17°.
- Find ∠STQ.
- Find ∠SRT.
(a)
∠STU
= 180° - 47°
= 133° (Interior angles)
∠STQ
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠UTP
= 180° - 149°
= 31°(Angles on a straight line)
∠SRT
= ∠RTU
= 31° + 17°
= 48° (Alternate angles)
Answer(s): (a) 78°; (b) 48°