PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 102° (Rhombus)
∠RQU
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 39° (Rhombus)
∠PST
= 180° - 61°
= 119° (Angles on a straight line)
∠RTS
= 39° + 119°
= 158° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 158°