The figure is not drawn to scale. GH//KJ and JH//LG. Triangles GLH and HJK are isosceles triangles. Find
- ∠k
- ∠m.
(a)
∠HJK = ∠HGL = 70° (JH//LG, HG//JK)
∠GHL
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠JHK
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠k
= 180° - 70° - 55° - 40°
= 15° (Interior angles, HG//JK)
(b)
∠m
= 180° - 28° - 15°
= 137° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 137°