In the figure, SU is parallel to WV and SX is parallel to TY. SXW is a straight line, ∠SXY = 98°. ∠XST = 105° and the sum of ∠TUV and ∠VWX is 140°. Find
- ∠XYT
- ∠WVU
(a)
∠XYT
= 180° - 98°
= 82° (Interior angles)
(b)
∠WVU
= 360° - 140° - 105°
= 115° (Sum of angles in a quadrilateral)
Answer(s): (a) 82°; (b) 115°