PSLE PQRS is a rhombus. SUQ and STRV are straight lines.
- Find ∠PQS.
- Find ∠SRV.
- Find ∠SUT.
(a)
∠PQS
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠QRS
= ∠QPS
= 100° (Rhombus)
∠SRV
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠TQU
= ∠PQU
= 40° (Rhombus)
∠QTU
= 180° - 69°
= 111° (Angles on a straight line)
∠SUT
= 40° + 111°
= 151° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 151°