In the figure, PQRS and QUVW are two rhombuses. If ∠UVW = 108° and ∠PSR = 94°, calculate
- ∠VUW
- ∠VRQ
- ∠WXR
(a)
∠VUW
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠VRQ = ∠PSR = 94° (Corresponding angles)
(c)
∠WXR
= 94° - 36°
= 58° (Exterior angle of a triangle)
Answer(s): (a) 36°; (b) 94°; (c) 58°