In the figure, not drawn to scale, QRST is a square, STU is an equilateral triangle, SUVW is a rhombus, and RS = US. Find
- ∠SWV
- ∠QUR
(a)
∠TSU = 60°
∠RSU
= 90° - 60°
= 30°
SU = SR
∠SUR
= (180° - 30°) ÷ 2
= 150° ÷ 2
= 75° (Isosceles triangle)
∠SWV
= ∠SUR
= 75° (Rhombus)
(b)
∠SRU = ∠SUR = 75°
∠QRU
= 90° - 75°
= 15°
∠QUR
= 180° - 15° - 15°
= 150° (Isosceles triangle QRU)
Answer(s): (a) 75°; (b) 150°