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 ∠a.
- Find ∠b.
(a)
∠GNQ
= 90° - 77°
= 13°
∠a
= 90° - 13°
= 77°
(b)
∠GHL = ∠HJK = 123° (Corresponding angles)
∠HLM
= 180° - 123°
=57° (Interior angles)
∠b
= 360° - 85° - 57°
= 218°
Answer(s): (a) 77°; (b) 218°