PSLEIn the figure, PQRS is a parallelogram. PMS and MRN are straight lines. ∠NRS = 153°, ∠PSR = 44° and ∠PRM = 20°.
- Find ∠QRN.
- Find ∠QPR.
(a)
∠QRS
= 180° - 44°
= 136° (Interior angles)
∠QRN
= 360° - 153° - 136°
= 71° (Angles at a point)
(b)
∠SRM
= 180° - 153°
= 27°(Angles on a straight line)
∠QPR
= ∠PRS
= 27° + 20°
= 47° (Alternate angles)
Answer(s): (a) 71°; (b) 47°