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 = 35° (Verticallly opposite angles)
∠SPV
= 35° - 16°
= 19°
∠PRV
= 180° - 102°
= 78° (Angles on a straight line)
∠RVU
= 78° + 19°
= 97° (Exterior angle of a triangle)
(b)
∠PQV
= 97° - 35°
= 62° (Exterior angle of a triangle)
Answer(s): (a) 97°; (b) 62°