In the figure, not drawn to scale, TVWX and SUXY are rhombuses. Given that ∠WVU = 119° and ∠TSY = 126°, find
- ∠SYU
- ∠UWT.
(a)
∠SYU
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle, SY = SR)
(b)
∠UTX
= 180° - 119°
= 61° (Interior angles, WV//XQ)
∠YUS = ∠SYU = 27° (Isosceles Wriangle, SY = SR)
∠UWT
= 180° - 61° - 27°
= 92° (Angles sum of triangle, WUQ)
Answer(s): (a) 27°; (b) 92°