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 = 85° (Alternate angles)
∠PQN
= 85° - 47°
= 38°
(b)
∠PNQ
= 180° - 90° - 38°
= 52° (Angles sum of triangle)
∠MNR = 52° (Vertically opposite angles)
∠ NMR
= 180° - 85° - 52°
= 43° (Angles sum of triangle)
Answer(s): (a) 38°; (b) 43°