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 ∠d.
- Find ∠e.
(a)
∠GNQ
= 90° - 76°
= 14°
∠d
= 90° - 14°
= 76°
(b)
∠GHL = ∠HJK = 120° (Corresponding angles)
∠HLM
= 180° - 120°
=60° (Interior angles)
∠e
= 360° - 85° - 60°
= 215°
Answer(s): (a) 76°; (b) 215°