In the figure, RST is parallel to UVW and UT cuts ∠SUV equally. Given that ∠RSU = 50° and ∠SXT = 120°, find
- ∠t
- ∠v
(a)
∠RSU = ∠SUV (Alternate angles)
∠t
= 50° ÷ 2
= 25°
(b)
∠SUX = ∠t = 25°
∠v
= 120° - 25°
= 95° (Exterior angle of a triangle)
Answer(s): (a) 25°; (b) 95°