The figure is not drawn to scale. FG//JH and HG//KF. Triangles FKG and GHJ are isosceles triangles. Find
- ∠s
- ∠t.
(a)
∠GHJ = ∠GFK = 74° (HG//KF, GF//HJ)
∠FGK
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠HGJ
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠s
= 180° - 74° - 53° - 32°
= 21° (Interior angles, GF//HJ)
(b)
∠t
= 180° - 28° - 21°
= 131° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 131°