PSLEIn the figure, PQRS is a parallelogram. PMS and MRN are straight lines. ∠NRS = 149°, ∠PSR = 47° and ∠PRM = 21°.
- Find ∠QRN.
- Find ∠QPR.
(a)
∠QRS
= 180° - 47°
= 133° (Interior angles)
∠QRN
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠SRM
= 180° - 149°
= 31°(Angles on a straight line)
∠QPR
= ∠PRS
= 31° + 21°
= 52° (Alternate angles)
Answer(s): (a) 78°; (b) 52°