HJKL is a quadrilateral and OHLK is a trapezium in which OH // LK and ∠JHL = 111°, ∠HLK = 120°, ∠JKL = 68° and LK = LH. Find
- ∠HJO
- ∠LHO
- ∠HKL.
(a)
∠HJO
= 360° - 120° -111° - 68°
= 61° (Sum of angles in a quadrilateral)
(b)
∠LHO
= 180° - 120°
= 60° (Interior angles, HO//LC)
(c)
∠HKL
= (180° - 120°) ÷ 2
= 60 ÷ 2
= 30° (Isosceles triangle)
Answer(s): (a) 61°; (b) 60°; (c) 30°