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 = 83° (Alternate angles)
∠PQN
= 83° - 52°
= 31°
(b)
∠PNQ
= 180° - 94° - 31°
= 55° (Angles sum of triangle)
∠MNR = 55° (Vertically opposite angles)
∠ NMR
= 180° - 83° - 55°
= 42° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 42°