In the figure, UVY and XVW are right-angled triangles. YV is parallel to XW. Find
- ∠VWX
- ∠VYX
(a)
∠XVY
= 360° - 90° - 90° - 121°
= 59° (Angles at a point)
∠VXW = ∠XVY = 59° (Alternate angles)
∠VWX
= 180° - ∠XVW - ∠VXW
= 180° - 90° - 59°
= 31° (Angles sum of triangle)
(b)
∠VYX
= 180° - ∠XVY - ∠VXY
= 180° - 59° - 80°
= 41° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 41°
