In the figure, NPQR and PTUV are two rhombuses. If ∠TUV = 108° and ∠NRQ = 95°, calculate
- ∠UTV
- ∠UQP
- ∠VWQ
(a)
∠UTV
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠UQP = ∠NRQ = 95° (Corresponding angles)
(c)
∠VWQ
= 95° - 36°
= 59° (Exterior angle of a triangle)
Answer(s): (a) 36°; (b) 95°; (c) 59°