In the figure, SU is parallel to WV and SX is parallel to TY. SXW is a straight line, ∠SXY = 97°. ∠XST = 105° and the sum of ∠TUV and ∠VWX is 143°. Find
- ∠XYT
- ∠WVU
(a)
∠XYT
= 180° - 97°
= 83° (Interior angles)
(b)
∠WVU
= 360° - 143° - 105°
= 112° (Sum of angles in a quadrilateral)
Answer(s): (a) 83°; (b) 112°