The figure is not drawn to scale. FG//JH and HG//KF. Triangles FKG and GHJ are isosceles triangles. Find
- ∠n
- ∠p.
(a)
∠GHJ = ∠GFK = 70° (HG//KF, GF//HJ)
∠FGK
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠HGJ
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠n
= 180° - 70° - 55° - 40°
= 15° (Interior angles, GF//HJ)
(b)
∠p
= 180° - 24° - 15°
= 141° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 141°
