PSLE NPQR is a rhombus. RTP and RSQU are straight lines.
- Find ∠NPR.
- Find ∠RQU.
- Find ∠RTS.
(a)
∠NPR
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠PQR
= ∠PNR
= 104° (Rhombus)
∠RQU
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠SPT
= ∠NPT
= 38° (Rhombus)
∠PST
= 180° - 63°
= 117° (Angles on a straight line)
∠RTS
= 38° + 117°
= 155° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 155°