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 = 87° (Alternate angles)
∠LMK
= 87° - 51°
= 36°
(b)
∠LKM
= 180° - 92° - 36°
= 52° (Angles sum of triangle)
∠JKN = 52° (Vertically opposite angles)
∠ KJN
= 180° - 87° - 52°
= 41° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 41°