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 = 47° (Verticallly opposite angles)
∠SPV
= 47° - 14°
= 33°
∠PRV
= 180° - 98°
= 82° (Angles on a straight line)
∠RVU
= 82° + 33°
= 115° (Exterior angle of a triangle)
(b)
∠PQV
= 115° - 47°
= 68° (Exterior angle of a triangle)
Answer(s): (a) 115°; (b) 68°