PSLE PQRS is a rhombus. SUQ and STRV are straight lines.
- Find ∠PQS.
- Find ∠SRV.
- Find ∠SUT.
(a)
∠PQS
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠QRS
= ∠QPS
= 110° (Rhombus)
∠SRV
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠TQU
= ∠PQU
= 35° (Rhombus)
∠QTU
= 180° - 64°
= 116° (Angles on a straight line)
∠SUT
= 35° + 116°
= 151° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 151°