PSLE RSTU and SUVW are rhombuses. TXU is a straight line.
- Find ∠USX.
- Find ∠TUV.
(a)
∠SUT
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠USX
= 180° - 122° - 38°
= 20° (Angles sum of triangle)
(b)
∠SWV
= 360° - 303°
= 57° (Angles at a point)
∠SUV = ∠SWV = 57° (Rhombus)
∠TUV
= 57° - 38°
= 19°
Answer(s): (a) 20°; (b) 19°