The figure is not drawn to scale. HJ//LK and KJ//MH. Triangles HMJ and JKL are isosceles triangles. Find
- ∠k
- ∠m.
(a)
∠JKL = ∠JHM = 74° (KJ//MH, JH//KL)
∠HJM
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠KJL
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠k
= 180° - 74° - 53° - 32°
= 21° (Interior angles, JH//KL)
(b)
∠m
= 180° - 25° - 21°
= 134° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 134°