PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 110° (Rhombus)
∠RQU
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 35° (Rhombus)
∠PST
= 180° - 66°
= 114° (Angles on a straight line)
∠RTS
= 35° + 114°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 149°