The figure shows a square RSVW and a rectangle STUV. ∠TWV = 42°.
- Find ∠SYW.
- Find ∠RXT.
(a)
∠SYW
= 42° + 90°
= 132° (Exterior angle of a triangle)
(b)
∠RVW = 45°
∠VXW
= 180° - 42° - 45°
= 93° (Angles sum of triangle)
∠RXT
= ∠VXW
= 93° (Vertically opposite angles)
Answer(s): (a) 132°; (b) 93°