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 = 41° (Verticallly opposite angles)
∠SPV
= 41° - 15°
= 26°
∠PRV
= 180° - 101°
= 79° (Angles on a straight line)
∠RVU
= 79° + 26°
= 105° (Exterior angle of a triangle)
(b)
∠PQV
= 105° - 41°
= 64° (Exterior angle of a triangle)
Answer(s): (a) 105°; (b) 64°