TUVW is a parallelogram. TWX and UYX are straight lines. Find the values of
- ∠t
- ∠x
- ∠w
- ∠v
(a)
∠t
= 180° - 51° - 57°
= 72° (Interior angles)
(b)
∠YTU = ∠YUT = 51° (Isosceles triangle)
∠x
= 180° - 57° - 51° - 51°
= 21° (Interior angles)
(c)
∠w
= 180° - 51° - 51°
= 78° (Isosceles triangle)
(d)
∠v = 57° (Alternate angles)
Answer(s): (a) 72°; (b) 21°; (c) 78°; (d) 57°