In the figure, PQRS and QUVW are two rhombuses. If ∠UVW = 120° and ∠PSR = 96°, calculate
- ∠VUW
- ∠VRQ
- ∠WXR
(a)
∠VUW
= (180° - 120°) ÷ 2
= 30° (Isosceles triangle)
(b)
∠VRQ = ∠PSR = 96° (Corresponding angles)
(c)
∠WXR
= 96° - 30°
= 66° (Exterior angle of a triangle)
Answer(s): (a) 30°; (b) 96°; (c) 66°