In the figure, YSUX and YSTW are parallelograms. Given that ∠USV = 15°, ∠YXW = 76° and YWX is an isosceles triangle where YW = YX. Find
- ∠SVU
- ∠YSV
(a)
∠SUX
= 180° - 76°
= 104° (Interior angles)
∠SVU
= 180° - 104° - 15°
= 61° (Angles sum of triangle)
(b)
∠YSV
= ∠SVU
= 61° (Alternate angles)
Answer(s): (a) 61°; (b) 61°