In the figure, SU is parallel to WV and SX is parallel to TY. SXW is a straight line, ∠SXY = 104°. ∠XST = 94° and the sum of ∠TUV and ∠VWX is 152°. Find
- ∠XYT
- ∠WVU
(a)
∠XYT
= 180° - 104°
= 76° (Interior angles)
(b)
∠WVU
= 360° - 152° - 94°
= 114° (Sum of angles in a quadrilateral)
Answer(s): (a) 76°; (b) 114°