In the figure, VWZ and YWX are right-angled triangles. ZW is parallel to YX. Find
- ∠WXY
- ∠WZY
(a)
∠YWZ
= 360° - 90° - 90° - 120°
= 60° (Angles at a point)
∠WYX = ∠YWZ = 60° (Alternate angles)
∠WXY
= 180° - ∠YWX - ∠WYX
= 180° - 90° - 60°
= 30° (Angles sum of triangle)
(b)
∠WZY
= 180° - ∠YWZ - ∠WYZ
= 180° - 60° - 87°
= 33° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 33°
