In the figure, RT is parallel to VU and RW is parallel to SX. RWV is a straight line, ∠RWX = 105°. ∠WRS = 97° and the sum of ∠STU and ∠UVW is 146°. Find
- ∠WXS
- ∠VUT
(a)
∠WXS
= 180° - 105°
= 75° (Interior angles)
(b)
∠VUT
= 360° - 146° - 97°
= 117° (Sum of angles in a quadrilateral)
Answer(s): (a) 75°; (b) 117°