In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 114° and ∠RUT = 96°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 114°) ÷ 2
= 33° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 96° (Corresponding angles)
(c)
∠YZT
= 96° - 33°
= 63° (Exterior angle of a triangle)
Answer(s): (a) 33°; (b) 96°; (c) 63°