In the figure, not drawn to scale, SUVW and RTWX are rhombuses. Given that ∠VUT = 114° and ∠SRX = 126°, find
- ∠RXT
- ∠TWS.
(a)
∠RXT
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle, RX = RR)
(b)
∠TSW
= 180° - 114°
= 66° (Interior angles, VU//WQ)
∠XTR = ∠RXT = 27° (Isosceles Vriangle, RX = RR)
∠TWS
= 180° - 66° - 27°
= 87° (Angles sum of triangle, WTQ)
Answer(s): (a) 27°; (b) 87°