In the figure, VWZ and YWX are right-angled triangles. ZW is parallel to YX. Find
- ∠WXY
- ∠WZY
(a)
∠YWZ
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠WYX = ∠YWZ = 58° (Alternate angles)
∠WXY
= 180° - ∠YWX - ∠WYX
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠WZY
= 180° - ∠YWZ - ∠WYZ
= 180° - 58° - 88°
= 34° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 34°