The figure is not drawn to scale. JLMN is a trapezium and JL // NM. Given that JN = JK, ∠NJK = 76° and ∠JLM = 98°.
- Find ∠LMN
- Find ∠JKN
- Find ∠KNM
(a)
∠LMN
= 180° - 98°
= 82° (Interior angles, JL//NM)
(b)
∠JKN
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
(c)
∠KNM
= ∠JKN
= 52° (Alternate angles, JL//NM)
Answer(s): (a) 82°; (b) 52°; (c) 52°