In the figure, NPQR and PTUV are two rhombuses. If ∠TUV = 118° and ∠NRQ = 94°, calculate
- ∠UTV
- ∠UQP
- ∠VWQ
(a)
∠UTV
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
(b)
∠UQP = ∠NRQ = 94° (Corresponding angles)
(c)
∠VWQ
= 94° - 31°
= 63° (Exterior angle of a triangle)
Answer(s): (a) 31°; (b) 94°; (c) 63°