In the figure, not drawn to scale, two rectangles, EFMN and LMPQ overlap each other as shown. Given that EH // LK and GK // HJ.
- Find ∠m.
- Find ∠n.
(a)
∠FMP
= 90° - 79°
= 11°
∠m
= 90° - 11°
= 79°
(b)
∠FGK = ∠GHJ = 118° (Corresponding angles)
∠GKL
= 180° - 118°
=62° (Interior angles)
∠n
= 360° - 81° - 62°
= 217°
Answer(s): (a) 79°; (b) 217°