In the figure, XYB and AYZ are right-angled triangles. BY is parallel to AZ. Find
- ∠YZA
- ∠YBA
(a)
∠AYB
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠YAZ = ∠AYB = 56° (Alternate angles)
∠YZA
= 180° - ∠AYZ - ∠YAZ
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠YBA
= 180° - ∠AYB - ∠YAB
= 180° - 56° - 83°
= 41° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 41°
