In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 113° and ∠RUT = 99°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 113°) ÷ 2
= 33.5° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 99° (Corresponding angles)
(c)
∠YZT
= 99° - 33.5°
= 65.5° (Exterior angle of a triangle)
Answer(s): (a) 33.5°; (b) 99°; (c) 65.5°