In the figure, TUV is parallel to WXY and WV cuts ∠UWX equally. Given that ∠TUW = 54° and ∠UZV = 119°, find
- ∠n
- ∠p
(a)
∠TUW = ∠UWX (Alternate angles)
∠n
= 54° ÷ 2
= 27°
(b)
∠UWZ = ∠n = 27°
∠p
= 119° - 27°
= 92° (Exterior angle of a triangle)
Answer(s): (a) 27°; (b) 92°