In the figure, STUV is a parallelogram. UX, XY and ST are straight lines. SVW is an isosceles triangle.
- Find ∠f.
- Find ∠g.
(a)
∠UXS = ∠TSY = 64° (Corresponding angles, ST//XU)
∠XWS
= 180° - ∠UXS - ∠XSW
= 180° - 64° - 21°
= 95° (Angles sum of triangle)
∠VWS
= 180° - 95°
= 85° (Angles on a straight line)
∠WVS = ∠VWS = 85° (Isosceles triangle)
∠f
= ∠WVS
= 85° (Corresponding angles, TU//SV)
(b)
∠g
= 180° - 85° - 85°
= 10° (Isosceles triangle SVW)
Answer(s): (a) 85°; (b) 10°