In the figure, QRST and RVWX are two rhombuses. If ∠VWX = 107° and ∠QTS = 101°, calculate
- ∠WVX
- ∠WSR
- ∠XYS
(a)
∠WVX
= (180° - 107°) ÷ 2
= 36.5° (Isosceles triangle)
(b)
∠WSR = ∠QTS = 101° (Corresponding angles)
(c)
∠XYS
= 101° - 36.5°
= 64.5° (Exterior angle of a triangle)
Answer(s): (a) 36.5°; (b) 101°; (c) 64.5°