In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 111° and ∠RUT = 92°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 111°) ÷ 2
= 34.5° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 92° (Corresponding angles)
(c)
∠YZT
= 92° - 34.5°
= 57.5° (Exterior angle of a triangle)
Answer(s): (a) 34.5°; (b) 92°; (c) 57.5°