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 = 47° (Verticallly opposite angles)
∠TQW
= 47° - 11°
= 36°
∠QSW
= 180° - 105°
= 75° (Angles on a straight line)
∠SWV
= 75° + 36°
= 111° (Exterior angle of a triangle)
(b)
∠QRW
= 111° - 47°
= 64° (Exterior angle of a triangle)
Answer(s): (a) 111°; (b) 64°