In the figure, STUV is a parallelogram. UX, XY and ST are straight lines. SVW is an isosceles triangle.
- Find ∠h.
- Find ∠i.
(a)
∠UXS = ∠TSY = 64° (Corresponding angles, ST//XU)
∠XWS
= 180° - ∠UXS - ∠XSW
= 180° - 64° - 17°
= 99° (Angles sum of triangle)
∠VWS
= 180° - 99°
= 81° (Angles on a straight line)
∠WVS = ∠VWS = 81° (Isosceles triangle)
∠h
= ∠WVS
= 81° (Corresponding angles, TU//SV)
(b)
∠i
= 180° - 81° - 81°
= 18° (Isosceles triangle SVW)
Answer(s): (a) 81°; (b) 18°