In the figure, STUV is a parallelogram. UX, XY and ST are straight lines. SVW is an isosceles triangle.
- Find ∠c.
- Find ∠d.
(a)
∠UXS = ∠TSY = 63° (Corresponding angles, ST//XU)
∠XWS
= 180° - ∠UXS - ∠XSW
= 180° - 63° - 19°
= 98° (Angles sum of triangle)
∠VWS
= 180° - 98°
= 82° (Angles on a straight line)
∠WVS = ∠VWS = 82° (Isosceles triangle)
∠c
= ∠WVS
= 82° (Corresponding angles, TU//SV)
(b)
∠d
= 180° - 82° - 82°
= 16° (Isosceles triangle SVW)
Answer(s): (a) 82°; (b) 16°
