In the figure, RST is parallel to UVW and UT cuts ∠SUV equally. Given that ∠RSU = 46° and ∠SXT = 101°, find
- ∠s
- ∠t
(a)
∠RSU = ∠SUV (Alternate angles)
∠s
= 46° ÷ 2
= 23°
(b)
∠SUX = ∠s = 23°
∠t
= 101° - 23°
= 78° (Exterior angle of a triangle)
Answer(s): (a) 23°; (b) 78°