PSLE In the figure, JKLM is a rectangle. The points P, Q, and R lie on the rectangle JKLM. MNP and RNQ are straight lines.
- Find ∠PQN.
- Find ∠NMR.
(a)
∠KQR = ∠MRQ = 87° (Alternate angles)
∠PQN
= 87° - 51°
= 36°
(b)
∠PNQ
= 180° - 91° - 36°
= 53° (Angles sum of triangle)
∠MNR = 53° (Vertically opposite angles)
∠ NMR
= 180° - 87° - 53°
= 40° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 40°