In the figure, XYB and AYZ are right-angled triangles. BY is parallel to AZ. Find
- ∠YZA
- ∠YBA
(a)
∠AYB
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠YAZ = ∠AYB = 58° (Alternate angles)
∠YZA
= 180° - ∠AYZ - ∠YAZ
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠YBA
= 180° - ∠AYB - ∠YAB
= 180° - 58° - 86°
= 36° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 36°