In the figure, STV and XWlU are straight lines. ∠SXW = 49°, ∠XSW = 41°, ∠TUV = 29° and ∠TVU = 111°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 41° - 49°
= 90° (Angles sum of triangle)
∠SWT
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠VTU
= 180° - 111° - 29°
= 40° (Angles sum of triangle)
∠STW = ∠VTU = 40° (Vertically opposite angles)
∠WST
= 180° - 90° - 40°
= 50° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 50°