PSLE PQRS is a rhombus. SUQ and STRV are straight lines.
- Find ∠PQS.
- Find ∠SRV.
- Find ∠SUT.
(a)
∠PQS
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠QRS
= ∠QPS
= 102° (Rhombus)
∠SRV
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠TQU
= ∠PQU
= 39° (Rhombus)
∠QTU
= 180° - 63°
= 117° (Angles on a straight line)
∠SUT
= 39° + 117°
= 156° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 156°