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 ∠r.
- Find ∠s.
(a)
∠GNQ
= 90° - 75°
= 15°
∠r
= 90° - 15°
= 75°
(b)
∠GHL = ∠HJK = 126° (Corresponding angles)
∠HLM
= 180° - 126°
=54° (Interior angles)
∠s
= 360° - 83° - 54°
= 223°
Answer(s): (a) 75°; (b) 223°