PSLE QRST and RTUV are rhombuses. SWT is a straight line.
- Find ∠TRW.
- Find ∠STU.
(a)
∠RTS
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠TRW
= 180° - 128° - 35°
= 17° (Angles sum of triangle)
(b)
∠RVU
= 360° - 292°
= 68° (Angles at a point)
∠RTU = ∠RVU = 68° (Rhombus)
∠STU
= 68° - 35°
= 33°
Answer(s): (a) 17°; (b) 33°