JKLM is a quadrilateral and OJML is a trapezium in which OJ // ML and ∠KJM = 110°, ∠JML = 128°, ∠KLM = 65° and ML = MJ. Find
- ∠JKO
- ∠MJO
- ∠JLM.
(a)
∠JKO
= 360° - 128° -110° - 65°
= 57° (Sum of angles in a quadrilateral)
(b)
∠MJO
= 180° - 128°
= 52° (Interior angles, JO//MC)
(c)
∠JLM
= (180° - 128°) ÷ 2
= 52 ÷ 2
= 26° (Isosceles triangle)
Answer(s): (a) 57°; (b) 52°; (c) 26°