PSLE RSTU and SUVW are rhombuses. TXU is a straight line.
- Find ∠USX.
- Find ∠TUV.
(a)
∠SUT
= (180° - 98°) ÷2
= 82° ÷ 2
= 41° (Isosceles triangle)
∠USX
= 180° - 127° - 41°
= 12° (Angles sum of triangle)
(b)
∠SWV
= 360° - 305°
= 55° (Angles at a point)
∠SUV = ∠SWV = 55° (Rhombus)
∠TUV
= 55° - 41°
= 14°
Answer(s): (a) 12°; (b) 14°