The figure is not drawn to scale. JK//ML and LK//NJ. Triangles JNK and KLM are isosceles triangles. Find
- ∠m
- ∠n.
(a)
∠KLM = ∠KJN = 72° (LK//NJ, KJ//LM)
∠JKN
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠LKM
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠m
= 180° - 72° - 54° - 36°
= 18° (Interior angles, KJ//LM)
(b)
∠n
= 180° - 27° - 18°
= 135° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 135°