The figure shows a square EFJK and a rectangle FGHJ. ∠GKJ = 37°.
- Find ∠FMK.
- Find ∠ELG.
(a)
∠FMK
= 37° + 90°
= 127° (Exterior angle of a triangle)
(b)
∠EJK = 45°
∠JLK
= 180° - 37° - 45°
= 98° (Angles sum of triangle)
∠ELG
= ∠JLK
= 98° (Vertically opposite angles)
Answer(s): (a) 127°; (b) 98°