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 = 37° (Verticallly opposite angles)
∠JFM
= 37° - 15°
= 22°
∠FHM
= 180° - 99°
= 81° (Angles on a straight line)
∠HML
= 81° + 22°
= 103° (Exterior angle of a triangle)
(b)
∠FGM
= 103° - 37°
= 66° (Exterior angle of a triangle)
Answer(s): (a) 103°; (b) 66°