PSLEIn the figure, PQRS is a parallelogram. PMS and MRN are straight lines. ∠NRS = 148°, ∠PSR = 42° and ∠PRM = 22°.
- Find ∠QRN.
- Find ∠QPR.
(a)
∠QRS
= 180° - 42°
= 138° (Interior angles)
∠QRN
= 360° - 148° - 138°
= 74° (Angles at a point)
(b)
∠SRM
= 180° - 148°
= 32°(Angles on a straight line)
∠QPR
= ∠PRS
= 32° + 22°
= 54° (Alternate angles)
Answer(s): (a) 74°; (b) 54°