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 ∠i.
- Find ∠j.
(a)
∠FMP
= 90° - 78°
= 12°
∠i
= 90° - 12°
= 78°
(b)
∠FGK = ∠GHJ = 119° (Corresponding angles)
∠GKL
= 180° - 119°
=61° (Interior angles)
∠j
= 360° - 83° - 61°
= 216°
Answer(s): (a) 78°; (b) 216°