The figure is not drawn to scale. HJ//LK and KJ//MH. Triangles HMJ and JKL are isosceles triangles. Find
- ∠i
- ∠j.
(a)
∠JKL = ∠JHM = 72° (KJ//MH, JH//KL)
∠HJM
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠KJL
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠i
= 180° - 72° - 54° - 36°
= 18° (Interior angles, JH//KL)
(b)
∠j
= 180° - 27° - 18°
= 135° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 135°
