In the figure, RST is parallel to UVW and UT cuts ∠SUV equally. Given that ∠RSU = 56° and ∠SXT = 105°, find
- ∠h
- ∠i
(a)
∠RSU = ∠SUV (Alternate angles)
∠h
= 56° ÷ 2
= 28°
(b)
∠SUX = ∠h = 28°
∠i
= 105° - 28°
= 77° (Exterior angle of a triangle)
Answer(s): (a) 28°; (b) 77°