The figure shows a square EFJK and a rectangle FGHJ. ∠GKJ = 39°.
- Find ∠FMK.
- Find ∠ELG.
(a)
∠FMK
= 39° + 90°
= 129° (Exterior angle of a triangle)
(b)
∠EJK = 45°
∠JLK
= 180° - 39° - 45°
= 96° (Angles sum of triangle)
∠ELG
= ∠JLK
= 96° (Vertically opposite angles)
Answer(s): (a) 129°; (b) 96°