In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 105° and ∠RUT = 102°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 105°) ÷ 2
= 37.5° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 102° (Corresponding angles)
(c)
∠YZT
= 102° - 37.5°
= 64.5° (Exterior angle of a triangle)
Answer(s): (a) 37.5°; (b) 102°; (c) 64.5°