In the figure, TUV is parallel to WXY and WV cuts ∠UWX equally. Given that ∠TUW = 50° and ∠UZV = 105°, find
- ∠i
- ∠j
(a)
∠TUW = ∠UWX (Alternate angles)
∠i
= 50° ÷ 2
= 25°
(b)
∠UWZ = ∠i = 25°
∠j
= 105° - 25°
= 80° (Exterior angle of a triangle)
Answer(s): (a) 25°; (b) 80°