PSLE QRST and RTUV are rhombuses. SWT is a straight line.
- Find ∠TRW.
- Find ∠STU.
(a)
∠RTS
= (180° - 96°) ÷2
= 84° ÷ 2
= 42° (Isosceles triangle)
∠TRW
= 180° - 128° - 42°
= 10° (Angles sum of triangle)
(b)
∠RVU
= 360° - 301°
= 59° (Angles at a point)
∠RTU = ∠RVU = 59° (Rhombus)
∠STU
= 59° - 42°
= 17°
Answer(s): (a) 10°; (b) 17°