In the figure, TUVW is a parallelogram. VY, YZ and TU are straight lines. TWX is an isosceles triangle.
- Find ∠r.
- Find ∠s.
(a)
∠VYT = ∠UTZ = 61° (Corresponding angles, TU//YV)
∠YXT
= 180° - ∠VYT - ∠YTX
= 180° - 61° - 19°
= 100° (Angles sum of triangle)
∠WXT
= 180° - 100°
= 80° (Angles on a straight line)
∠XWT = ∠WXT = 80° (Isosceles triangle)
∠r
= ∠XWT
= 80° (Corresponding angles, UV//TW)
(b)
∠s
= 180° - 80° - 80°
= 20° (Isosceles triangle TWX)
Answer(s): (a) 80°; (b) 20°