In the figure, STV and XWlU are straight lines. ∠SXW = 46°, ∠XSW = 46°, ∠TUV = 36° and ∠TVU = 115°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 46° - 46°
= 88° (Angles sum of triangle)
∠SWT
= 180° - 88°
= 92° (Angles on a straight line)
(b)
∠VTU
= 180° - 115° - 36°
= 29° (Angles sum of triangle)
∠STW = ∠VTU = 29° (Vertically opposite angles)
∠WST
= 180° - 92° - 29°
= 59° (Angles sum of triangle)
Answer(s): (a) 92°; (b) 59°