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 = 38° (Verticallly opposite angles)
∠SPV
= 38° - 13°
= 25°
∠PRV
= 180° - 108°
= 72° (Angles on a straight line)
∠RVU
= 72° + 25°
= 97° (Exterior angle of a triangle)
(b)
∠PQV
= 97° - 38°
= 59° (Exterior angle of a triangle)
Answer(s): (a) 97°; (b) 59°