The figure is not drawn to scale. ZA//CB and BA//DZ. Triangles ZDA and ABC are isosceles triangles. Find
- ∠v
- ∠w.
(a)
∠ABC = ∠AZD = 76° (BA//DZ, AZ//BC)
∠ZAD
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠BAC
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠v
= 180° - 76° - 52° - 28°
= 24° (Interior angles, AZ//BC)
(b)
∠w
= 180° - 27° - 24°
= 129° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 129°