PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 100° (Rhombus)
∠RQU
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 40° (Rhombus)
∠PST
= 180° - 63°
= 117° (Angles on a straight line)
∠RTS
= 40° + 117°
= 157° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 157°