In the figure, STV and XWlU are straight lines. ∠SXW = 49°, ∠XSW = 40°, ∠TUV = 29° and ∠TVU = 108°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 40° - 49°
= 91° (Angles sum of triangle)
∠SWT
= 180° - 91°
= 89° (Angles on a straight line)
(b)
∠VTU
= 180° - 108° - 29°
= 43° (Angles sum of triangle)
∠STW = ∠VTU = 43° (Vertically opposite angles)
∠WST
= 180° - 89° - 43°
= 48° (Angles sum of triangle)
Answer(s): (a) 89°; (b) 48°
