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 = 82° (Alternate angles)
∠PQN
= 82° - 56°
= 26°
(b)
∠PNQ
= 180° - 93° - 26°
= 61° (Angles sum of triangle)
∠MNR = 61° (Vertically opposite angles)
∠ NMR
= 180° - 82° - 61°
= 37° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 37°