The figure shows a square STWX and a rectangle TUVW. ∠UXW = 36°.
- Find ∠TZX.
- Find ∠SYU.
(a)
∠TZX
= 36° + 90°
= 126° (Exterior angle of a triangle)
(b)
∠SWX = 45°
∠WYX
= 180° - 36° - 45°
= 99° (Angles sum of triangle)
∠SYU
= ∠WYX
= 99° (Vertically opposite angles)
Answer(s): (a) 126°; (b) 99°