PSLE PQRS is a rhombus. SUQ and STRV are straight lines.
- Find ∠PQS.
- Find ∠SRV.
- Find ∠SUT.
(a)
∠PQS
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠QRS
= ∠QPS
= 108° (Rhombus)
∠SRV
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠TQU
= ∠PQU
= 36° (Rhombus)
∠QTU
= 180° - 70°
= 110° (Angles on a straight line)
∠SUT
= 36° + 110°
= 146° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 146°