PSLE RSTU and SUVW are rhombuses. TXU is a straight line.
- Find ∠USX.
- Find ∠TUV.
(a)
∠SUT
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠USX
= 180° - 126° - 36°
= 18° (Angles sum of triangle)
(b)
∠SWV
= 360° - 294°
= 66° (Angles at a point)
∠SUV = ∠SWV = 66° (Rhombus)
∠TUV
= 66° - 36°
= 30°
Answer(s): (a) 18°; (b) 30°