In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 106° and ∠RUT = 97°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 97° (Corresponding angles)
(c)
∠YZT
= 97° - 37°
= 60° (Exterior angle of a triangle)
Answer(s): (a) 37°; (b) 97°; (c) 60°