PSLEIn the figure, PQRS is a parallelogram. PMS and MRN are straight lines. ∠NRS = 150°, ∠PSR = 47° and ∠PRM = 19°.
- Find ∠QRN.
- Find ∠QPR.
(a)
∠QRS
= 180° - 47°
= 133° (Interior angles)
∠QRN
= 360° - 150° - 133°
= 77° (Angles at a point)
(b)
∠SRM
= 180° - 150°
= 30°(Angles on a straight line)
∠QPR
= ∠PRS
= 30° + 19°
= 49° (Alternate angles)
Answer(s): (a) 77°; (b) 49°