In the figure, KLM and MNP are isosceles triangles where KM = LM and MN = MP. Given that NQ, PS and KU are straight lines, find
- ∠RVU
- ∠PQV
(a)
∠KLM = ∠LKM = ∠MNP = ∠MPN (Isosceles triangle)
∠MPN = ∠QPV = 38° (Verticallly opposite angles)
∠SPV
= 38° - 14°
= 24°
∠PRV
= 180° - 99°
= 81° (Angles on a straight line)
∠RVU
= 81° + 24°
= 105° (Exterior angle of a triangle)
(b)
∠PQV
= 105° - 38°
= 67° (Exterior angle of a triangle)
Answer(s): (a) 105°; (b) 67°