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 = 43° (Verticallly opposite angles)
∠SPV
= 43° - 15°
= 28°
∠PRV
= 180° - 105°
= 75° (Angles on a straight line)
∠RVU
= 75° + 28°
= 103° (Exterior angle of a triangle)
(b)
∠PQV
= 103° - 43°
= 60° (Exterior angle of a triangle)
Answer(s): (a) 103°; (b) 60°