In the figure, PQR is parallel to STU and SR cuts ∠QST equally. Given that ∠PQS = 50° and ∠QVR = 109°, find
- ∠e
- ∠f
(a)
∠PQS = ∠QST (Alternate angles)
∠e
= 50° ÷ 2
= 25°
(b)
∠QSV = ∠e = 25°
∠f
= 109° - 25°
= 84° (Exterior angle of a triangle)
Answer(s): (a) 25°; (b) 84°