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° - 129° - 36°
= 15° (Angles sum of triangle)
(b)
∠SWV
= 360° - 278°
= 82° (Angles at a point)
∠SUV = ∠SWV = 82° (Rhombus)
∠TUV
= 82° - 36°
= 46°
Answer(s): (a) 15°; (b) 46°