In the figure, TUV is parallel to WXY and WV cuts ∠UWX equally. Given that ∠TUW = 52° and ∠UZV = 101°, find
- ∠q
- ∠r
(a)
∠TUW = ∠UWX (Alternate angles)
∠q
= 52° ÷ 2
= 26°
(b)
∠UWZ = ∠q = 26°
∠r
= 101° - 26°
= 75° (Exterior angle of a triangle)
Answer(s): (a) 26°; (b) 75°