In the figure, NPQR and PTUV are two rhombuses. If ∠TUV = 113° and ∠NRQ = 95°, calculate
- ∠UTV
- ∠UQP
- ∠VWQ
(a)
∠UTV
= (180° - 113°) ÷ 2
= 33.5° (Isosceles triangle)
(b)
∠UQP = ∠NRQ = 95° (Corresponding angles)
(c)
∠VWQ
= 95° - 33.5°
= 61.5° (Exterior angle of a triangle)
Answer(s): (a) 33.5°; (b) 95°; (c) 61.5°