In the figure, RST is parallel to UVW and UT cuts ∠SUV equally. Given that ∠RSU = 58° and ∠SXT = 117°, find
- ∠i
- ∠j
(a)
∠RSU = ∠SUV (Alternate angles)
∠i
= 58° ÷ 2
= 29°
(b)
∠SUX = ∠i = 29°
∠j
= 117° - 29°
= 88° (Exterior angle of a triangle)
Answer(s): (a) 29°; (b) 88°