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 ∠w.
- Find ∠x.
(a)
∠GNQ
= 90° - 78°
= 12°
∠w
= 90° - 12°
= 78°
(b)
∠GHL = ∠HJK = 122° (Corresponding angles)
∠HLM
= 180° - 122°
=58° (Interior angles)
∠x
= 360° - 87° - 58°
= 215°
Answer(s): (a) 78°; (b) 215°