In the figure, STV and XWlU are straight lines. ∠SXW = 42°, ∠XSW = 45°, ∠TUV = 26° and ∠TVU = 115°. Find
- ∠SWT
- ∠WST
(a)
∠SWX
= 180° - 45° - 42°
= 93° (Angles sum of triangle)
∠SWT
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠VTU
= 180° - 115° - 26°
= 39° (Angles sum of triangle)
∠STW = ∠VTU = 39° (Vertically opposite angles)
∠WST
= 180° - 87° - 39°
= 54° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 54°
