In the figure, not drawn to scale, two rectangles, FGNP and MNQR overlap each other as shown. Given that FJ // ML and HL // JK.
- Find ∠m.
- Find ∠n.
(a)
∠GNQ
= 90° - 74°
= 16°
∠m
= 90° - 16°
= 74°
(b)
∠GHL = ∠HJK = 123° (Corresponding angles)
∠HLM
= 180° - 123°
=57° (Interior angles)
∠n
= 360° - 83° - 57°
= 220°
Answer(s): (a) 74°; (b) 220°