PSLE RSTU and SUVW are rhombuses. TXU is a straight line.
- Find ∠USX.
- Find ∠TUV.
(a)
∠SUT
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠USX
= 180° - 132° - 39°
= 9° (Angles sum of triangle)
(b)
∠SWV
= 360° - 290°
= 70° (Angles at a point)
∠SUV = ∠SWV = 70° (Rhombus)
∠TUV
= 70° - 39°
= 31°
Answer(s): (a) 9°; (b) 31°