In the figure, LMN and NPQ are isosceles triangles where LN = MN and NP = NQ. Given that PR, QT and LV are straight lines, find
- ∠SWV
- ∠QRW
(a)
∠LMN = ∠MLN = ∠NPQ = ∠NQP (Isosceles triangle)
∠NQP = ∠RQW = 40° (Verticallly opposite angles)
∠TQW
= 40° - 11°
= 29°
∠QSW
= 180° - 100°
= 80° (Angles on a straight line)
∠SWV
= 80° + 29°
= 109° (Exterior angle of a triangle)
(b)
∠QRW
= 109° - 40°
= 69° (Exterior angle of a triangle)
Answer(s): (a) 109°; (b) 69°