The figure shows a square STWX and a rectangle TUVW. ∠UXW = 39°.
- Find ∠TZX.
- Find ∠SYU.
(a)
∠TZX
= 39° + 90°
= 129° (Exterior angle of a triangle)
(b)
∠SWX = 45°
∠WYX
= 180° - 39° - 45°
= 96° (Angles sum of triangle)
∠SYU
= ∠WYX
= 96° (Vertically opposite angles)
Answer(s): (a) 129°; (b) 96°