In the figure, not drawn to scale, SUVW and RTWX are rhombuses. Given that ∠VUT = 117° and ∠SRX = 124°, find
- ∠RXT
- ∠TWS.
(a)
∠RXT
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle, RX = RR)
(b)
∠TSW
= 180° - 117°
= 63° (Interior angles, VU//WQ)
∠XTR = ∠RXT = 28° (Isosceles Vriangle, RX = RR)
∠TWS
= 180° - 63° - 28°
= 89° (Angles sum of triangle, WTQ)
Answer(s): (a) 28°; (b) 89°