In the figure, QRST and RVWX are two rhombuses. If ∠VWX = 119° and ∠QTS = 91°, calculate
- ∠WVX
- ∠WSR
- ∠XYS
(a)
∠WVX
= (180° - 119°) ÷ 2
= 30.5° (Isosceles triangle)
(b)
∠WSR = ∠QTS = 91° (Corresponding angles)
(c)
∠XYS
= 91° - 30.5°
= 60.5° (Exterior angle of a triangle)
Answer(s): (a) 30.5°; (b) 91°; (c) 60.5°