PSLE In the figure, JKLM is a parallelogram. GMJ and HML are straight lines and GH = HJ. ∠GHM = 30° and ∠KLM = 59°.
- Find ∠LMJ.
- Find ∠MHJ.
(a)
∠LMJ
= 180° - 59°
= 121° (Interior angles)
(b)
∠GMH
= ∠LMJ
= 121° (Vertically opposite angles)
∠HGM
= 180° - 121° - 30°
= 29° (Angles sum of triangle)
∠HJM = ∠HGM (Isosceles triangle)
∠GHJ
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠MHJ
= 122° - 30°
= 92°
Answer(s): (a) 121°; (b) 92°