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° - 57°
= 28°
(b)
∠PNQ
= 180° - 88° - 28°
= 64° (Angles sum of triangle)
∠MNR = 64° (Vertically opposite angles)
∠ NMR
= 180° - 85° - 64°
= 31° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 31°