PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 106° (Rhombus)
∠RQU
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 37° (Rhombus)
∠PST
= 180° - 69°
= 111° (Angles on a straight line)
∠RTS
= 37° + 111°
= 148° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 148°