In the figure, TUVW is a parallelogram. VY, YZ and TU are straight lines. TWX is an isosceles triangle.
- Find ∠s.
- Find ∠t.
(a)
∠VYT = ∠UTZ = 60° (Corresponding angles, TU//YV)
∠YXT
= 180° - ∠VYT - ∠YTX
= 180° - 60° - 15°
= 105° (Angles sum of triangle)
∠WXT
= 180° - 105°
= 75° (Angles on a straight line)
∠XWT = ∠WXT = 75° (Isosceles triangle)
∠s
= ∠XWT
= 75° (Corresponding angles, UV//TW)
(b)
∠t
= 180° - 75° - 75°
= 30° (Isosceles triangle TWX)
Answer(s): (a) 75°; (b) 30°
