In the figure, STV and XWlU are straight lines. ∠SXW = 40°, ∠XSW = 41°, ∠TUV = 26° and ∠TVU = 118°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 41° - 40°
= 99° (Angles sum of triangle)
∠SWT
= 180° - 99°
= 81° (Angles on a straight line)
(b)
∠VTU
= 180° - 118° - 26°
= 36° (Angles sum of triangle)
∠STW = ∠VTU = 36° (Vertically opposite angles)
∠WST
= 180° - 81° - 36°
= 63° (Angles sum of triangle)
Answer(s): (a) 81°; (b) 63°
