In the figure, QRST and RVWX are two rhombuses. If ∠VWX = 105° and ∠QTS = 99°, calculate
- ∠WVX
- ∠WSR
- ∠XYS
(a)
∠WVX
= (180° - 105°) ÷ 2
= 37.5° (Isosceles triangle)
(b)
∠WSR = ∠QTS = 99° (Corresponding angles)
(c)
∠XYS
= 99° - 37.5°
= 61.5° (Exterior angle of a triangle)
Answer(s): (a) 37.5°; (b) 99°; (c) 61.5°