In the figure, NPQR and PTUV are two rhombuses. If ∠TUV = 123° and ∠NRQ = 94°, calculate
- ∠UTV
- ∠UQP
- ∠VWQ
(a)
∠UTV
= (180° - 123°) ÷ 2
= 28.5° (Isosceles triangle)
(b)
∠UQP = ∠NRQ = 94° (Corresponding angles)
(c)
∠VWQ
= 94° - 28.5°
= 65.5° (Exterior angle of a triangle)
Answer(s): (a) 28.5°; (b) 94°; (c) 65.5°