In the figure, not drawn to scale, TVWX and SUXY are rhombuses. Given that ∠WVU = 113° and ∠TSY = 124°, find
- ∠SYU
- ∠UWT.
(a)
∠SYU
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle, SY = SR)
(b)
∠UTX
= 180° - 113°
= 67° (Interior angles, WV//XQ)
∠YUS = ∠SYU = 28° (Isosceles Wriangle, SY = SR)
∠UWT
= 180° - 67° - 28°
= 85° (Angles sum of triangle, WUQ)
Answer(s): (a) 28°; (b) 85°