The figure shows a square RSVW and a rectangle STUV. ∠TWV = 45°.
- Find ∠SYW.
- Find ∠RXT.
(a)
∠SYW
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠RVW = 45°
∠VXW
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠RXT
= ∠VXW
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°