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 = 45° (Verticallly opposite angles)
∠SPV
= 45° - 11°
= 34°
∠PRV
= 180° - 106°
= 74° (Angles on a straight line)
∠RVU
= 74° + 34°
= 108° (Exterior angle of a triangle)
(b)
∠PQV
= 108° - 45°
= 63° (Exterior angle of a triangle)
Answer(s): (a) 108°; (b) 63°
