In the figure, not drawn to scale, VXYZ and UWZA are rhombuses. Given that ∠YXW = 112° and ∠VUA = 124°, find
- ∠UAW
- ∠WWV.
(a)
∠UAW
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle, UA = UR)
(b)
∠WVZ
= 180° - 112°
= 68° (Interior angles, YX//ZQ)
∠AWU = ∠UAW = 28° (Isosceles Yriangle, UA = UR)
∠WWV
= 180° - 68° - 28°
= 84° (Angles sum of triangle, WWQ)
Answer(s): (a) 28°; (b) 84°