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 = 83° (Alternate angles)
∠LMK
= 83° - 53°
= 30°
(b)
∠LKM
= 180° - 94° - 30°
= 56° (Angles sum of triangle)
∠JKN = 56° (Vertically opposite angles)
∠ KJN
= 180° - 83° - 56°
= 41° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 41°