The figure shows a square EFJK and a rectangle FGHJ. ∠GKJ = 45°.
- Find ∠FMK.
- Find ∠ELG.
(a)
∠FMK
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠EJK = 45°
∠JLK
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠ELG
= ∠JLK
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°