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 = 76° (JH//LG, HG//JK)
∠GHL
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠JHK
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠s
= 180° - 76° - 52° - 28°
= 24° (Interior angles, HG//JK)
(b)
∠t
= 180° - 24° - 24°
= 132° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 132°