PSLEIn the figure, PQRS is a parallelogram. PMS and MRN are straight lines. ∠NRS = 147°, ∠PSR = 42° and ∠PRM = 17°.
- Find ∠QRN.
- Find ∠QPR.
(a)
∠QRS
= 180° - 42°
= 138° (Interior angles)
∠QRN
= 360° - 147° - 138°
= 75° (Angles at a point)
(b)
∠SRM
= 180° - 147°
= 33°(Angles on a straight line)
∠QPR
= ∠PRS
= 33° + 17°
= 50° (Alternate angles)
Answer(s): (a) 75°; (b) 50°