In the figure, PQRS and QUVW are two rhombuses. If ∠UVW = 109° and ∠PSR = 93°, calculate
- ∠VUW
- ∠VRQ
- ∠WXR
(a)
∠VUW
= (180° - 109°) ÷ 2
= 35.5° (Isosceles triangle)
(b)
∠VRQ = ∠PSR = 93° (Corresponding angles)
(c)
∠WXR
= 93° - 35.5°
= 57.5° (Exterior angle of a triangle)
Answer(s): (a) 35.5°; (b) 93°; (c) 57.5°