In the figure, YSUX and YSTW are parallelograms. Given that ∠USV = 11°, ∠YXW = 64° and YWX is an isosceles triangle where YW = YX. Find
- ∠SVU
- ∠YSV
(a)
∠SUX
= 180° - 64°
= 116° (Interior angles)
∠SVU
= 180° - 116° - 11°
= 53° (Angles sum of triangle)
(b)
∠YSV
= ∠SVU
= 53° (Alternate angles)
Answer(s): (a) 53°; (b) 53°