JKLM is a quadrilateral and OJML is a trapezium in which OJ // ML and ∠KJM = 108°, ∠JML = 120°, ∠KLM = 64° and ML = MJ. Find
- ∠JKO
- ∠MJO
- ∠JLM.
(a)
∠JKO
= 360° - 120° -108° - 64°
= 68° (Sum of angles in a quadrilateral)
(b)
∠MJO
= 180° - 120°
= 60° (Interior angles, JO//MC)
(c)
∠JLM
= (180° - 120°) ÷ 2
= 60 ÷ 2
= 30° (Isosceles triangle)
Answer(s): (a) 68°; (b) 60°; (c) 30°