PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 108° (Rhombus)
∠RQU
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 36° (Rhombus)
∠PST
= 180° - 67°
= 113° (Angles on a straight line)
∠RTS
= 36° + 113°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 149°