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 = 36° (Verticallly opposite angles)
∠SPV
= 36° - 14°
= 22°
∠PRV
= 180° - 110°
= 70° (Angles on a straight line)
∠RVU
= 70° + 22°
= 92° (Exterior angle of a triangle)
(b)
∠PQV
= 92° - 36°
= 56° (Exterior angle of a triangle)
Answer(s): (a) 92°; (b) 56°