In the figure, BCD and DEF are isosceles triangles where BD = CD and DE = DF. Given that EG, FJ and BL are straight lines, find
- ∠HML
- ∠FGM
(a)
∠BCD = ∠CBD = ∠DEF = ∠DFE (Isosceles triangle)
∠DFE = ∠GFM = 39° (Verticallly opposite angles)
∠JFM
= 39° - 14°
= 25°
∠FHM
= 180° - 109°
= 71° (Angles on a straight line)
∠HML
= 71° + 25°
= 96° (Exterior angle of a triangle)
(b)
∠FGM
= 96° - 39°
= 57° (Exterior angle of a triangle)
Answer(s): (a) 96°; (b) 57°