The figure shows a square FGKL and a rectangle GHJK. ∠HLK = 45°.
- Find ∠GNL.
- Find ∠FMH.
(a)
∠GNL
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠FKL = 45°
∠KML
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠FMH
= ∠KML
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°