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 ∠j.
- Find ∠k.
(a)
∠GNQ
= 90° - 80°
= 10°
∠j
= 90° - 10°
= 80°
(b)
∠GHL = ∠HJK = 126° (Corresponding angles)
∠HLM
= 180° - 126°
=54° (Interior angles)
∠k
= 360° - 88° - 54°
= 218°
Answer(s): (a) 80°; (b) 218°