The figure shows a square FGKL and a rectangle GHJK. ∠HLK = 39°.
- Find ∠GNL.
- Find ∠FMH.
(a)
∠GNL
= 39° + 90°
= 129° (Exterior angle of a triangle)
(b)
∠FKL = 45°
∠KML
= 180° - 39° - 45°
= 96° (Angles sum of triangle)
∠FMH
= ∠KML
= 96° (Vertically opposite angles)
Answer(s): (a) 129°; (b) 96°