Given that KLMN is a trapezium and KLN is an isosceles triangle, find the values of
- ∠b
- ∠c
(a)
∠b
= 180° - 85°
= 95° (Interior angles)
(b)
∠NLK
= 85° ÷ 2
= 42.5° (Exterior angle of a triangle)
∠MNL = ∠NLK = 42.5° (Alternate angles)
∠c
= 180° - 88° - 42.5°
= 49.5° (Angles sum of triangle)
Answer(s): (a) 95°; (b) 49.5°