In the figure, NPQR and PTUV are two rhombuses. If ∠TUV = 109° and ∠NRQ = 97°, calculate
- ∠UTV
- ∠UQP
- ∠VWQ
(a)
∠UTV
= (180° - 109°) ÷ 2
= 35.5° (Isosceles triangle)
(b)
∠UQP = ∠NRQ = 97° (Corresponding angles)
(c)
∠VWQ
= 97° - 35.5°
= 61.5° (Exterior angle of a triangle)
Answer(s): (a) 35.5°; (b) 97°; (c) 61.5°