In the figure, not drawn to scale, VXYZ and UWZA are rhombuses. Given that ∠YXW = 115° and ∠VUA = 122°, find
- ∠UAW
- ∠WWV.
(a)
∠UAW
= (180° - 122°) ÷ 2
= 58 ÷ 2
= 29° (Isosceles triangle, UA = UR)
(b)
∠WVZ
= 180° - 115°
= 65° (Interior angles, YX//ZQ)
∠AWU = ∠UAW = 29° (Isosceles Yriangle, UA = UR)
∠WWV
= 180° - 65° - 29°
= 86° (Angles sum of triangle, WWQ)
Answer(s): (a) 29°; (b) 86°