QRST is a rhombus, MNT and RNS are straight lines. If RN = NT, ∠NTS = 16° and ∠PRS = 31°, find
- ∠NST
- ∠PMN
(a)
∠NST
= 86° - 16°
= 70° (Exterior angle of a triangle)
(b)
∠RMN
= 86° - 31°
= 55° (Exterior angle of a triangle)
∠PMN
= 180° - 55°
= 125° (Angles on a straight line)
Answer(s): (a) 70°; (b) 125°