In the figure, STUV is a parallelogram. UX, XY and ST are straight lines. SVW is an isosceles triangle.
- Find ∠j.
- Find ∠k.
(a)
∠UXS = ∠TSY = 66° (Corresponding angles, ST//XU)
∠XWS
= 180° - ∠UXS - ∠XSW
= 180° - 66° - 20°
= 94° (Angles sum of triangle)
∠VWS
= 180° - 94°
= 86° (Angles on a straight line)
∠WVS = ∠VWS = 86° (Isosceles triangle)
∠j
= ∠WVS
= 86° (Corresponding angles, TU//SV)
(b)
∠k
= 180° - 86° - 86°
= 8° (Isosceles triangle SVW)
Answer(s): (a) 86°; (b) 8°