In the figure, RSTU and SWXY are two rhombuses. If ∠WXY = 116° and ∠RUT = 101°, calculate
- ∠XWY
- ∠XTS
- ∠YZT
(a)
∠XWY
= (180° - 116°) ÷ 2
= 32° (Isosceles triangle)
(b)
∠XTS = ∠RUT = 101° (Corresponding angles)
(c)
∠YZT
= 101° - 32°
= 69° (Exterior angle of a triangle)
Answer(s): (a) 32°; (b) 101°; (c) 69°