The figure is not drawn to scale. ZA//CB and BA//DZ. Triangles ZDA and ABC are isosceles triangles. Find
- ∠w
- ∠x.
(a)
∠ABC = ∠AZD = 70° (BA//DZ, AZ//BC)
∠ZAD
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠BAC
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠w
= 180° - 70° - 55° - 40°
= 15° (Interior angles, AZ//BC)
(b)
∠x
= 180° - 25° - 15°
= 140° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 140°
