The figure is not drawn to scale. GH//KJ and JH//LG. Triangles GLH and HJK are isosceles triangles. Find
- ∠s
- ∠t.
(a)
∠HJK = ∠HGL = 72° (JH//LG, HG//JK)
∠GHL
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠JHK
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠s
= 180° - 72° - 54° - 36°
= 18° (Interior angles, HG//JK)
(b)
∠t
= 180° - 24° - 18°
= 138° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 138°
