The figure is not drawn to scale. KL//NM and ML//PK. Triangles KPL and LMN are isosceles triangles. Find
- ∠v
- ∠w.
(a)
∠LMN = ∠LKP = 72° (ML//PK, LK//MN)
∠KLP
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠MLN
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠v
= 180° - 72° - 54° - 36°
= 18° (Interior angles, LK//MN)
(b)
∠w
= 180° - 25° - 18°
= 137° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 137°