PSLE In the figure, FGHJ is a rectangle. The points L, M, and N lie on the rectangle FGHJ. JKL and NKM are straight lines.
- Find ∠LMK.
- Find ∠KJN.
(a)
∠GMN = ∠JNM = 84° (Alternate angles)
∠LMK
= 84° - 47°
= 37°
(b)
∠LKM
= 180° - 89° - 37°
= 54° (Angles sum of triangle)
∠JKN = 54° (Vertically opposite angles)
∠ KJN
= 180° - 84° - 54°
= 42° (Angles sum of triangle)
Answer(s): (a) 37°; (b) 42°