In the figure, STV and XWlU are straight lines. ∠SXW = 50°, ∠XSW = 47°, ∠TUV = 30° and ∠TVU = 109°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 47° - 50°
= 83° (Angles sum of triangle)
∠SWT
= 180° - 83°
= 97° (Angles on a straight line)
(b)
∠VTU
= 180° - 109° - 30°
= 41° (Angles sum of triangle)
∠STW = ∠VTU = 41° (Vertically opposite angles)
∠WST
= 180° - 97° - 41°
= 42° (Angles sum of triangle)
Answer(s): (a) 97°; (b) 42°
