In the figure, YSUX and YSTW are parallelograms. Given that ∠USV = 12°, ∠YXW = 66° and YWX is an isosceles triangle where YW = YX. Find
- ∠SVU
- ∠YSV
(a)
∠SUX
= 180° - 66°
= 114° (Interior angles)
∠SVU
= 180° - 114° - 12°
= 54° (Angles sum of triangle)
(b)
∠YSV
= ∠SVU
= 54° (Alternate angles)
Answer(s): (a) 54°; (b) 54°