In the figure, RST is parallel to UVW and UT cuts ∠SUV equally. Given that ∠RSU = 52° and ∠SXT = 112°, find
- ∠c
- ∠d
(a)
∠RSU = ∠SUV (Alternate angles)
∠c
= 52° ÷ 2
= 26°
(b)
∠SUX = ∠c = 26°
∠d
= 112° - 26°
= 86° (Exterior angle of a triangle)
Answer(s): (a) 26°; (b) 86°